Basic Math question and answers for March 09, 2024
- Q The equation, with a restriction on x, is the terminal side of an angle ? in standard position. ?2x+y=0, x?0.(I)Give the exact values of the six trigonometric functions of ?.(II)Select...
- Q Write the following function in terms of its cofunction. Assume that all angles in which an unknown appears are acute angles.tan (? +30)tan (?+30) =(Simplify your answer. Do not include...
- Q Identify the quadrant(s) of an angle ? that satisfies the given conditions.sin ?>0, cos ?<0Choose the correct answer below.A. IIB. IC. IVD. III
- Q Find the indicated function value. If it is undefined say so.cos 1800Select the correct choice below and fill in any answer boxes in your choice.(A). cos 1800 =______(B). The solution...
- Q Graph the given circle on a coordinate plane. (x + 1) + y = 9
- Q Determine whether the statement is possible or impossible.sin ?= -4The statement is______ because the range of sine is._______
- Q Use the appropriate reciprocal identity to find the function value.sin ?, given that csc ? = 1.6sin ?= ___(Type an integer or decimal.)
- Q Find the exact value of csc ? , given that cot ? =-1/4 and is in quadrant IV. Rationalize denominators when applicable.Select the correct choice below and, if necessary, fill...
- Q Find the indicated function value. If it is undefined, say so.cos(90)Select the correct choice below and, if necessary, fill in the answer box to complete your choice.(A). cos(90) =(B). The...
- Q Find the signs of the six trigonometric function values for the given angle.36Complete the table.Function. Signsin 36 ...
- Q Find a solution for the equation. Assume that all angles in which an unknown appears are acute angles.csc ? = sec(? + 10)?=(Simplify your answer. Type an integer or a...
- Q Find the exact value of each of the remaining trigonometric functions of ?. Rationalize denominators when applicable.cot ? = - ?3/7 , given that ? is in quadrant IVA )...
- Q Find all values of ? in the interval [0,360) that have the given function value . tan?= ?3?=___(Type an integer or a decimal. Use a comma to separate answers as...
- Q Find one solution for the equation. Assume that all angles involved are acute angles.sin (?+25) = cos (2?+5)?= ?(Simplify your answer.)
- Q Use a calculator to evaluate the expression.sin 84 cos 96 + cos 84sin 96.sin 84cos 96 + cos 84sin 96 = _______________
- Q Find all values of ?, if ? is in the interval [0, 360)and has the given function value.csc ? =2?3/(3)?=[?](Type an integer or a decimal. Use a comma to separate...
- Q Find the exact value of tan 30.tan 30 =(Simplify your answer, including any radicals. )
- Q A building 56.35 feet tall has a shadow that is 61.66 feet long. Find the angle of elevation of the sun to the nearest hundredth of a degree. The angle...
- Q Rewrite tan 21 in terms of its cofunction.tan 21 =(Type an exact answer. Simplify your answer. Type any angle measures in degrees.)
- Q Use a calculator to evaluate the expression.sin 88 24' cos 91 36' + cos 88 24' sin 91 36'sin 88 24' cos 91 36' + cos 88 24' sin 91...
- Q Rewrite cot 63 in terms of its cofunction.cot 63= __ (Type an exact answer. Simplify your answer. Type any angle measures in degrees. Do not include the degree symbol in...
- Q Suppose that you are headed toward a plateau 25.5 meters high. If the angle of elevation to the top of the plateau is 32.5, how far are you from the...
- Q Evaluate the expression. sin210 + cos210sin210 + cos210 = ______________
- Q Match each angle in Column I with its reference angle in Column II.45 88 42 30 3260Drag each reference angle above to the corresponding angle below. Answers may be used...
- Q Use a calculator to find a decimal approximation of cos 38 / sin 38Simplify the expression first. cos 38 / sin 38 ? ________________
- Q For what angles 0 between 0 and 360 is cos 0= sin 0 true?The angle 0 in degrees is/are_______(Use a comma to separate answers as needed. Do not include the...
- Q Evaluate the expression.cos 60 + sec 150 - csc 225cos 60 + sec 150 - csc225=[?](Simplify your answer, including any radicals. Use integers or fraction)
- Q Complete the table with exact trigonometric function values. Do not use a calculator. ? sin ? cos ? tan ?...
- Q Find all values of ? if ? is in the interval [0,360) and has the given function value.cos ? ? 0.4433323The value(s) of ? is/are _______________
- Q Solve the right triangle using the given information.a = 75.6 yd, b = 40.3 ydc= ___ yd(Simplify your answer. Type an integer or a decimal. Round to the nearest tenth...
- Q Use a calculator to find a decimal approximation for each value. Give as many digits as your calculator displays. Simplify the expression before using the calculator.1/sec (90-48)1/sec (90-48)?____(Simplify your answer....
- Q Find the exact values of the six trigonometric functions for the following angle.30sin 30 =
- Q Find a value of ? in the interval [0, 90] that satisfies the given statement.cot ? = 1.5106322? ? ____________
- Q For what angles ? between 0 and 360 is cos ?= sin ? true?The angle ? in degrees is/are _________________
- Q Find a value of ? in [0, 90] that satisfies the given statement. csc ?= 1.1979145? ? ___________
- Q (tan x + cot x) = tan x + 1 + cot x + 1a) Trueb) False
- Q When an automobile travels uphill or down hill on a highway, it experiences a force due to gravity. This force in pounds is called grade resistance and is modeled by...
- Q The shadow of a vertical tower is 74.0 ft long when the angle of elevation of the sun is 34.0. Find the height of the tower.The tower is ____ft tall.
- Q Solve the right triangle.O=B=a=(Round to the nearest integer as needed.)m (Round to the nearest integer as needed.)m (Round to the nearest integer as needed.)
- Q Solve the right triangle ABC, with C = 90.B=69.4, b= 108 in.A = ? (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.)a=...
- Q Find the exact value of the following expression.csc (-480)
- Q Find a value of ? in the interval [0,90] that satisfies the given statement.sin ? =0.68223867? ? _________
- Q From a window 29.0 ft above the street, the angle of elevation to the top of thebuilding across the street is 48.0 and the angle of depression to the base...
- Q Find the exact value of the sine function of the given angle.570sin 570 =_____
- Q Solve the right triangle ABC, with C = 90.B = 61.1, b=116 in.A =___a=___C=___
- Q sin x* cosx =(1-cos 2x)/2 * (1+cos2x)/2O TrueO False
- Q (1+tan x)/(1-tan X)=[1+(sinx/cosx)cosx]/[1-(sinx/cosx)cosx]a)Trueb)False
- Q Solve the right triangle ABC, where C = 90.a = 77.7 yd, b = 42.7 ydC=___A =___B=____
- Q For each of the following angles, find the radian measure of the angle with the given degree measure(you can enter ? as 'pi' in your answers):320?=320?=330?=-380=-360=
- Q Find the approximate value of cot ?, given that csc ? = -3.5891420 and ? is in quadrant IV. Rationalize denominators when applicable.Select the correct choice below and, if necessary,...
- Q (1 cos 2x)(1+ cos2x) = 1- cos 2xa) Trueb)False
- Q (sin x+cos x)/(sec x+csc x)=(sin a+cos x)/[(1/cox)+(1/sinx)]a) Trueb)False
- Q Identify the quadrant or quadrants for the angles satisfying the following conditions.csc ? > 0 and sec ? > 0The angles & satisfying the above conditions are in Quadrant ______.(Type...
- Q Sketch an angle ? in standard position such that ? has the least possible positive measure and the point (5,- 12) is on the terminal side of ?. Then find...
- Q 11. A sinusoidal function has an amplitude of 4 units, a period of 180, and a maximum point at (0, 9).a) Represent the function with an equation using the cosine...
- Q Use a calculator to find a decimal approximation for the following trigonometric function.sin 6954'sin 6954' ? _____(Simplify your answer. Type an integer or a decimal. Round to eight decimal places...
- Q Rewrite sec 22 in terms of its cofunction.sec 22 =(Type an exact answer. Simplify your answer. Type any angle measures in degrees. Do not include the degree symbol in your...
- Q Select the correct choices that complete the sentence below.The value of sin 240 is ________ because 240 is in quadrant _________ The reference angle is _________ and the exact value...
- Q Solve the right triangle ABC, with C = 90.A=48.4, c = 22.3 ftB= ____ (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.)a=...
- Q Find the exact value of sin 60.sin 60 = _____(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
- Q A fan of trigonometry is building a right triangular pool in his backyard. The hypotenuse of the right triangle is 30 feet long and the height of the right triangle...
- Q The terminal side of an angle ? in standard position passes through the point (-3,-6). Use the figure to find the following value. cos ?cos ? = ____(Type an exact...
- Q Use the circle shown in the rectangular coordinate system to find two angles, in radians, between - 2? and 2? such that each angle's terminal side passes through the origin...
- Q Two ships leave a harbor entrance at the same time. The first ship is traveling at a constant 12 miles per hour, while the second is traveling at a constant...
- Q Convert 110 to radians and express your answer in terms of ?.11?/3619?/9198?11?/18
- Q Two planes leave an airport at the same time. Their speeds are 90 miles per hour and 110 miles per hour, and the angle between their courses is 24. How...
- Q A vector is described. Express the vector in terms of i and j. A plane flying downward toward a runway at 150 miles per hour makes an angle of 4...
- Q If cos (?) = 8/17, 0 ? ? ? ?/2, thensin(?) equals _____tan(?) equals _____sec(?) equals _____
- Q For 0 < ?<?/2 find the values of the trigonometric functions based on the given one.If cot (?)=10/8thena)tan(?)=b)sin (?) =c)cos(?)=d)sec (?)=e)csc (0)=
- Q Determine the primary trigonometric ratios for the principal angle, ?, that has a terminal arm going through the point (A, - B). Then, determine ?.(A) Draw a diagram.(B) Determine the...
- Q Convert the radian measure to degrees.44 radian(s) =
- Q Write the following complex number in rectangular form.6 (cos 4?/3 + i sin 4?/3)
- Q Find the area of a sector of a circle having radius r and central angle ? . r = 12.9 cm, ? = 80The area is approximately ___ cm.(Do not...
- Q Find the exact value of the expressions cos(a+?) sin(a+?) and tan(a+?) under the followingconditionssin(a)=12/ 13, a lies in quadrant I, and sin(?)= 24/25 ? lies in quadrant II.a. cos(a +...
- Q Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle.112 30'sin(112 30') =cos(112 30') =tan(112 30')=
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