Show that the following is true. sin(x-플) We begin on the left side of the equation by using a Difference Formula. We can then final all exact values and simplify. sin(x - ) = (sin x)(cos x = -cos X -(cos x)(sin 곡) = (sin x)(1 - (cos x)(1) = -cos X

Q: Verify the identity. (Simplify at each step.) sin1/2 x cos x - sin5/2 x cos x = cos³ x/ sin x sin /2…

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Q: Find sin x/2, cos x/2, and tan x/2 from the given information. csc x = 8,   90° < x < 180

A: Given cscx=8 ,where 90°&lt;x&lt;180°. Here, x lies in 2nd quadrant, so sinx will be positive but…

Q: Show that the following is true. sin(x -)- = -cos X 20 PM We begin on the left side of the equation…

A: We have to proof

Q: If tan x = -1/3, cos x > 0,, then | sin 2x -6 cos 2x -1 tan 2x -3/4

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Q: Express: ) +i Sin (8 in exponentioal form COS

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Q: Show that the following is true. sin(x 프2 = -COS X We begin on the left side of the equation by…

A: Given:

Q: Given that sin (x) -2/√13 & cos (x) < 0, find the value of tan (x)

A: Given sinx=-23

Q: Solve the equation tan x sec x = 3 tan x on the interval [0, 2π). Use exact values where possible or…

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Q: 2 has a real solution True or False The equation sin 0 that can be found using a calculator.

A: Solution:Given     The equation sin θ=2 has a real solution that can be using calculator.To State:…

Q: Determine a root of the equation sin x + 3 cos x – 2 = 0. Correct to four decimal places

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Q: Express 6.2 sin(x) – 4.9 cos(x) in the form ksin(x +ø) k Note: ø should be given in radians in the…

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Q: Prove the identity sin) sin = COS X + x _ We begin on the left side of the equation by using Sum and…

A: We are going to prove:

Q: 3. Verify the identity cos(-a) 1- sin(r) COS 1+ sin(-r) =2 sec x cos(r) Show all work and justify…

A: We have to verify the identity cos(-x)1-sin(x) + 1+sin(-x)cos(x) = 2 sec x

Q: Which of the equations can be used to find the value of x A) Cos 30= x/5 B) Tan 30= 5/x C) Sin 30=…

A: Given,

Q: Show that the following is true. sin(x + 27) = sin x We begin on the left side of the equation by…

A: Show that sin(x+2π)=sinx

Q: Sin 20 + cos20 +1 Sin 20-cos20 +1 - - сото

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Q: 11. sin(2 tan-1 (-) 3,

A: A trigonometric ratios sin, cos, tan can take the input in the unit of degree or radians. The…

Q: Solve sin(2x)cos(5x)−cos(2x)sin(5x)=−0.75 for the smallest positive solution

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Q: cos^2(2x) - sin^2(2x)=0. Is it a identity and how can you tell.

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Q: 1. If tan x = -3 then tan (-x) =  2. If sin x = 0.3 then sin (-x) = 3. If cos x = 0.2 then cos (-x)…

A: Answer 1. We know that  sin(-x)=- sinx and cos(-x)= cos x  tan x= sin xcos xHence  tan (-x)= sin(-…

Q: 2. A 45° sin 45° = - Cos 45° = - tan 45° = -- CSC 45° = - sec 45° =- cot 45° =

A: We have to find value of all trigonometric Ratio at 45°

Q: tan x = 2 then what does tan(-x)=? if sin x = 0.5 then what does sin(-x)=? if cos x = 0.4 then…

A: We have to find the value

Q: 1. If tan x=1 then tan(−x)=    2. If sin x=0.2then sin(−x) =    3. If cos x=0.6 then cos(−x)=…

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6,   tan(x) < 0 sin(2x)  =…

A: values are a) sin(2x) = .3286 b) cos(2x) = .945 c) tan(2x) = .3479 detailed solution is given below…

Q: 6. 1) cos sin 7 -1 2V5 3) csc cos -1 5) csc sin- 7) sec tan-1 V3 4/5

A: Answer of 1: Here the angle of cosine function is an inverse sine function.

Q: Find the exact function values for sin(2?) , cos(2?) ??? tan(2?) when cos(?) = −√5/5 ??? sin(?) > 0.

A: cosx=-55, sinx&gt;0 By using the identity sin2x+cos2x=1, we get…

Q: Evaluate: lime 1-sin 0+cos 0 sin 20-cos 0

A: The objective is to evaluate the limit.

Q: Evaluate: lime 1-sin 8+cos 8 sin 20-cos 0

A: Given expression is, limθ→π21-sin θ+cos θsin 2θ-cos θ. The L'Hospital rule states that…

Q: sin[sin^(-1)(3)/(5)+cos^(-1)(-(4)/(5))] =

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Q: 1. If tan a = - 3.5 then tan( – 2) = 2. If sin æ = 0.4 then sin( – æ) = 3. If cos x = 0.9 then cos(…

A: 1.  tan is negative in 4th quadrant tan(-x)=-tanx= 3.5 2. sin is negative in 4th quadrant…

Q: For this problem, knowing sine is an odd function, I can see why the numerator of the problem turns…

A: Given function

Q: Show that the equation  Sin (x - 60°) - cos(30°-x) = 1   can be written in the form cos x =k where…

A:

Q: Find all exact solutions on [0, 2?). sec(x) sin(x) − 2 sin(x) = 0

A: follow 2nd step

Q: Prove the identity. sin(90° + x) + sin(90° - x) = 2 cos x We begin on the left side of the equation…

A:

Q: Evaluate the trigonometric unit: limit as x  --> 0      1-cos^2(4x)/16x^2   How do I begin by…

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Q: what is the equation of the tangent line to the function f(x)=2 sin x + cos x at x=pi /4 ( express…

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Q: 4. tan(5) a. Find the exact value for: b. Solve for x: tan(2x) = √3, xe [-]

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Q: Verify the identity. (Simplify at each step.) sin3/2 x cos x - sin72 x cos x = cos3 xV sin3 x .…

A: Here we solve the trigonometry equation.

Q: sin(ø) = 2 3 and <0. Given that <0< what is the exact value of cos(20)?

A: Here, given that sin θ=23; π2&lt;θ&lt;π That is θ is in the second quadrant. Therefore, cos…

Q: Find the solution of the equation in the interval 0°≤ x < 360° sin x + √2 = − sin x

A: Given: sinx + √2 = −sinx, 0°≤ x &lt; 360°

Q: Verify the identity. (Simplify at each step.) sin5/2 x cos x – sin9/2 x cos x = cos³ x/ sin5 x…

A: sin2X+cos2X=1 this is formula cos2X=1-sin2X

Q: Simplify to a single trigonomeiric ratio: cos(90°-x).cos(-y)- cos(180°-x)sin(-y). cos(360°…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Verify the identity. (Simplify at each step.) 5 sin2 x − 5 sin4 x = 5 cos2 x − 5 cos4 x   5 sin2 x…

A: Given identity is,5 sin2 x − 5 sin4 x = 5 cos2 x − 5 cos4 xConsider,5 sin2 x − 5 sin4 xTake out 5…

Q: Find sin(x/2) =  cos(x/2) =  tan(x/2) =  Given cos(x) = -24/25, 180 degrees < x < 270 degrees

A: topic - half angle values of trigonometric functions

Q: Use the most appropriate method to solve on the interval [0, 2π): cos x csc x = 2 cos x

A:

Q: Verify the identity. 2 cos 3x sin x = 2 sin x cos x – 8 cos x sin3 x Working with the left-hand…

A: Using the product to sum identity

Q: If sinx=38sinx=38, x in quadrant I, then find (without finding x) sin(2x)=sin(2x)=    cos(2x)=cos(

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Q: Verify the identity. (Simplify at each step.) (1 + cos α)(1 − cos α) = sin2 α   (1 + cos α)(1 − cos…

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Q: Prove the identity sin(90°x) + sin(90° - x) = 2 cos x We begin on the left side of the equation by…

A: Given,

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 4, tan(x) < 0 sin(2x)…

A: csc(x)=4, tan(x)&lt;0we have to findsin(2x), cos(2x), tan(2x)