Basic Math question and answers for March 07, 2024
- Q Simplify tan(t) / sec(t) to a single trig function with no fractions.
- Q Simplify sin (t)/1-sin (t) to an expression involving a single trig function with nofractions.If needed, enter squared trigonometric expressions using the followingnotation.Example: Enter sin (t) as (sin(t)).
- Q Fill in the blanks:1. If tan x = 0.5 then tan( ? x) =2. If sin x = 0.4 then sin( -x) c=3. If cos x = 0.5 then cos(...
- Q Determine the value of sin x + cosx for x = 60 degrees.
- Q Find the values of the trigonometric functions of t from the given information. sin(t) = 4/5, terminal point of t is in Quadrant IVcos(t) =tan(t) =csc(t) =sec(t)cot(t):
- Q Simplify 1 + cot(t)/1+tan(t) to a single trig function with no fractions.
- Q Verify the identity.(cscx cotx)^2 = 1- cos x / 1 + cos x
- Q A student solved this question: Find the value(s) of x within 0 ? x ? 2? for the followingexpression sin (2x) + = = 2sin(x) cos(x).Did they make any mistakes...
- Q Use the sum or difference formula for tangent to find the exact value for tan(-75)tan(-75)
- Q The point of concurrency of the perpendicular bisectors of a triangle is called thecentroid.incenter.orthocenter.circumcenter.
- Q Find the exact value of sin(75).
- Q Determine the quadrant when the terminal side of the angle lies according to the following conditions: sin (t) > 0, tan (t) <0.Quadrant IQuadrant IIIQuadrant IVQuadrant II
- Q Find the value of the trigonometric function sin (t) if sect=-4/3 and the terminal side of angle t lies in quadrant II.sin (t) = 3/4sin (t) =?5/4sin (t) = 5/4sin...
- Q For 0 < ?<?/2, find the values of the trigonometric functions based on the given one (give your answers with THREE DECIMAL PLACES or as expressions, e.g. you can enter...
- Q Find a positive angle less than one revolution around the unit circle that is co-terminal with the given angle: 52?/58?/512?/55?/22?/5
- Q In which quadrant is the following true?cscx<0 and secx>0Quadrant IVQuadrant IIIQuadrant IQuadrant II
- Q For an angle A in standard position, if sinA=cosA then the terminal arm of the anglelies in quadrants II or IV.TrueFalse
- Q Verify that the equation is an identity.sin 2D cos 2D = sin 2D-4 sin D cos DTo verify the identity, rewrite the more complicated side of the equation so that...
- Q Use a half-angle identity to find the exact value.cos 67.5
- Q Use a half-angle identity to find the exact value.cos 112.5cos 112.5 =(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
- Q Use the given information to find (a) sin (s+t), (b) tan (s+t), and (c) the quadrant of s+ t.sin s=1/4 and sint= -3/4 in quadrant II and t in quadrant...
- Q Write the expression as an algebraic expression in u, u>0.tan( cos^-1( 2/?u^2+4))tan( cos^-1( 2/?u^2+4))=(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize...
- Q Find a simplified expression for cos( sin^-1 (y/6))Find a simplified expression for cos( sin^-1 (y/6))
- Q Find the exact value of the expression.sin[sin-1 5/13 + cos -1(-4/5)]sin[sin-1 5/13 + cos -1(-4/5)]=(simplify your answer,including any radicals.)
- Q Use the given information to find (a) sin (s+t), (b) tan (s + t), and (c) the quadrant of s+ t.cos s=4/5 and cost=8/17 s and t in quadrant IV(a)...
- Q Fill in the blank to complete the fundamental identity.sin (-?)=
- Q Use the given information to find (a) sin (s+t). (b) tan (s+t), and (c) the quadrant of s+t.sin s=2/3 and sint=-1/3, in quadrant II and t in quadrant IV(a) sin...
- Q Give the equation y=4tan(8x+32)period=horizontal shift=units to the
- Q On the interval [0, 2?) determine which angles are not in the domain of the tangent function,f(0) = tan(0)What angles are NOT in the domain of the tangent function on...
- Q Find the exact value of the following expression. Write the answer as a single fraction. Do not use a calculator.sin23?/4cos5?/6+cos23?/4sin5?/6sin23?/4cos5?/6+cos23?/4sin5?/6(Simplify your answer. Type an exact answer, using radicals as needed....
- Q Find the exact value of the expression. Do not use a calculator. tan ?/3 /2 + 1 /sec ?/6tan ?/3 /2 + 1 /sec ?/6 = (Type an exact answer,...
- Q Use a calculator to find the value of the acute angle ? in radians.tan ? = 0.4173
- Q Find the exact value of each of the six trigonometric functions of ?, if (9, -3) is a point on the terminal side of angle ?....sin ?=(Simplify your answer, including...
- Q Virginia is flying a Cessna and is descending at a 7 angle towards a runway. If she can see a gorge behind her at a 50 angle that is 500...
- Q Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth.cos 33
- Q A pole that is 2.7 m tall casts a shadow that is 1.8 m long. At the same time, a nearby tower casts a shadow that is 44.25 m long....
- Q A pole that is 3 m tall casts a shadow that is 1.54 m long. At the same time, a nearby building casts a shadow that is 44.5 m long....
- Q A pole that is 3.2 m tall casts a shadow that is 1.27 m long. At the same time, a nearby tower casts a shadow that is 49.5 m long....
- Q List 2 angles (in radian measure) with 0??<2? for which the cosine of each is -?3/2 .
- Q Given the equation y = 2 sin(7(x + 5)) + 4The amplitude is:The period is:The horizontal shift is:____units to the Select an answerThe midline is: y =
- Q Given the equation y=4 sin (4?/3 x +8?) +7The amplitude is:The period is:The horizontal shift is:___units to the Select an answerThe midline is: y =
- Q Given the equation y=5 sin(7x + 14) + 4The amplitude is:The period is:The horizontal shift is:___units to the Select an answer The midline is: y =
- Q Sketch a graph of the function f(x) = cos(x).
- Q Verify the identity: 2 csc A = sin A / 1 + cos A + 1 + cos A / sin A
- Q Verify the identity: cos A = sin A/1- cos A - 1
- Q Verify the identity:cos (2A)/1 + sin (2A) = cot A -1/cot A+1
- Q Find two values of ?, 0??<2?, that satisfy the following equation.tan ?= 1
- Q Let 0 be an angle in standard position. Name the quadrant in which ? lies.tan > ?, sin ?> 0The angle ? lies in which quadrant? IIiIV
- Q Find the reference angle for the angle 37? /6
- Q Determine the amplitude, period, any vertical translation, and any phase shift of the given graph.y=-2 cos(x/5 + ?/5)The amplitude is
- Q ___ =sin 2? and ____= tan ?/2 given and cot = 15/8 and terminates in Quadrant III.
- Q A coin is tossed twice. Let E be the event "the first toss shows heads" and F the event "the second toss shows heads".(a) Are the events E and F...
- Q In Problems 39-56, use the even-odd properties to find the exact value of each expression. Do not use a calculator.47. tan (-?/4)48. sin (-?)49. cos (-?/4)
- Q A tower that is 101 feet tall casts a shadow 106 feet long. Find the angle of elevation of the sun to the nearest degree.
- Q If f(?) = 2 sin ?-sin 2?, find f(?/6).Do not use a calculator and express each exact value as a single fraction. f(?/6)=
- Q People who believe in biorhythms claim there are three cycles that rule our behavior - the physical, emotional, and mental. Each is a sine function of a certain period.The function...
- Q 3. For y = -1 b + cos x with 0 ? x ? 2? and 2 ? b ? 6, where does the lowest point of the graph occur?...
- Q Use a calculator to approximate the following to 6 decimal places: csc 5212?07"
- Q A radio tower is located. 350ft from a building. from a window in the building, a person determines that the angle of elevation to the top of tower is 38...
- Q IF sin(0) = -4/5, and 0 is in IV, then find quadrant(a)Cos (0)=(b) tan(o) =(c) sec (0) =(d) csc (0) =(e) cot (o)=
- Q A 16-ft ladder leans against a building so that the angle between the ground and ladder is 99. How high does ladder reach on building? Ft
- Q Use a calculator to find the following values:sin(0.3)cos(0.3)tan(0.3)
- Q Find an angle with 0 <?<360 that has the same:Sine as 20:?= degreesCosine as 20: ? = degrees
- Q If cos(?)=-1/8 and ? is in the 3rd quadrant, find the exact value for sin(?)sin(?) =
- Q If ?=-5?/4,thensin (?) =cos(?)Give exact values. No decimals allowed!
- Q If ?=4?/3,thensin(?) =cos(?) =Give exact values. No decimals allowed!
- Q Find an angle with 0 < ? < 360 that has the same:Sine function value as 260? = degreesCosine function value as 260? = degrees
- Q 1. If tan x = 4 then tan(-x) =2. If sin x = 0.7 then sin(-x) =3. If cos x = 0.5 then cos(-x)=4. If tan x 0.5 then tan(?...
- Q If cos(?)= - 2|5 and is in the 2nd quadrant, find sin(?)
- Q For each part, type your answer in as a fraction. Do not use a decimal or round your answers.If sin(x)=-3/5 ,then csc(x)=If cos(x)=2/3 ,then sec(x)=If tan(x) = 7, then cot(x)...
- Q If cos(?)=3/8 and ? is in the 1st quadrant, find sin(?)sin ?
- Q Given that the point (14, 48) is on the terminal side of an angle, ?, find the exact value of the following:sin (?)=cos(?)=tan (?)=csc (?)=sec (?)=cot (?)=
- Q Given angle A=47.03925 and angle B=7527'30", then Angle A= Sec. and Angle B= Deg.. Min.___ Decimal Deg.
- Q Express the following as a function of a single angle.tan 60 + tan 45/1- tan 60 tan 45tan[ ? ]
- Q Solve for x where 0?x??cosx-sinx = 1/2
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