Suppose = cos 4- Evaluate: |dx A - 3sin sin x-4+ C © -)+c -x- 3 3sin

Q: If sin θ = 3.5x and cos θ = 5.5x, find x

A: sinθ=3.5xcosθ=5.5xDivide above equations.

Q: las to rewrite the identities. b. sin(8x)-cos(8x)

A: a) We have to use the formula

Q: Verify the identity. (7 cos x-4 sin x)2 + (4 cosx+7 sin x)2 = 65

A: Given,           7cosx-4sinx2+4cosx+7sinx2=65

Q: If tan(0) 24 - , 0 <os then 2 %3D sin(0) equals cos(0) equals COS sec(0) equals

A:

Q: Express as a sum or difference.sin (-4x) cos 8x

A: sin-4xcos8x

Q: Find the exact value of cos2 15° - sin2 15°.

A: We have to find the exact value of cos2 15°-sin2 15°Formula used :-Cos 2θ= cos2 θ-sin2θ -1

Q: 4 Suppose that sine = and <0<. Find the exact values of cos and tan Cos Undefined tan Continue O

A:

Q: If cos u = -2/3 and π/2 &lt; u &lt; π, find: sin (u/2)

A:

Q: Suppose that sin(θ)=1/7. What csc(θ)=______.

A:

Q: 57T then 4° If 0 %3D - sin(0) equals cos(8) equals tan(0) equals sec(0) equals

A: Using trigonometrical identities.

Q: Show that (tan- x) = cos2(tan-1x) and then use Figure 8 to prove that (tan- x) = (x² + 1)-1. V1+x? y…

A: Given:

Q: What is the exact value of 2sin(x/2) * cos(x/2) if sin of x = 3/5 and cos of x = 4/5 ?

A: To determine the exact value of the expression.

Q: Verify the identity: (cos 4x - cos 2x)/(sin 2x - sin 4x) = tan 3x

A:

Q: Suppose that tan 0 = - and 90° <0 < 180°. 4 Find the exact values of cos and tan 2 믐 JT - 0 cos %3D…

A: giventanx=-34   90°&lt;x&lt;180°  we know that…

Q: If cos 2 (5) sin(0) and 0 <0< then 2 0 =

A: cosπ2=sinθ                                L.H.S=cosπ2…

Q: – 27 then If 0 3 sin(0) = cos(8) =

A:

Q: Suppose cos x = - , where n < x < * . Find the exact value of cos(x – 4) . COS

A: cos(A-B)=cos A cos B+ sin A sin B

Q: If cos u = - 2/3 and π/2 &lt; u &lt; π, find: cos (2u) tan (u/2)

A:

Q: To evaluate sin*2x cos 2x dx , the identities to be used is/are: 1+ cos4x A sin4x & 2 2 B cos²2x= 1-…

A:

Q: Let ƒ(x) = (cos( − 4x – 5)) (sin(6x − 2)). Then ƒ'(x) =

A: f(x)=(cos(-4x-5))(sin(6x-2))

Q: If csc(x) = 4, for 90° < x < 180°, then CS sin() Cos 2 %3D tan 2 %3D

A: formule: 1. cosec(x) = 1/sin(x) 2. tan(x) = sin(x)/cos(x)

Q: To evaluate sin42x cos 2x dx , the identities to be used is/are: sin22x = 1- cos?2x В cos²2x = 1-…

A: Check the identities

Q: If f(x) = sin(2x) + sin(4x) + sin(6x), determine the fundamental period. %3D

A:

Q: cos40cos 15- sin40sin15

A:

Q: Prove sin (90◦+x) + sin (90◦−x) = 2 cosx

A:

Q: 1 2 cos x- sec x 2

A:

Q: Show that the equation sin(cos 2x)= V1-4x² is an identity. %3D

A:

Q: Show that sin³ +cos³0 sin + cos 2-sin 20 2

A: Here we use the formula of (a+b)^3 .

Q: sec² () = 1+ cos x 2.

A:

Q: If csc(z) = 6, for 90° < x < 180°, then sin com ) - [ tan) - COS

A: First of all find the value of x, then find the given

Q: Prove the below cos' x sin 3x + sin' x cos 3x 3 sin 4x 4 II

A: Simplification of trigonometry function

Q: If cos u = - 2/3and u terminates in QIII, find sin u.

A: Given: cosu=-23, u terminates in 3rd quadrant We know that if u is in 3rd quadrant then sinu and…

Q: If x + = 2 cose X then show that 1 = 2 cos 20 X* + X

A:

Q: 2) Explain why sin(@) = cos(90 - 0). %3D

A:

Q: 13 If sec0 5 Show that 2 sin 0-3cos0 3D3 4 sin 0 –9 cos0

A:

Q: Find sin(20) if sec 0 = 3/2 and tan 0 < 0. %3D

A:

Q: Find cos x if tan x= -(2 √2)/2 and sin x= √6/3

A:

Q: Find cos if sin = 1/2 terminates in QII

A: Given data:     The given value of the trigonometric identity is: sinθ=1/2.     Evaluate the given…

Q: If csc(x) = 8, for 90° < x < 180°, then sin con (5) COS 2

A:

Q: 2) Explain why sin(8) = cos(90-e). %3D

A:

Q: Find the rootof( foxs = sin (cos ces) %3D 4-

A: "Since you have asked multiple questions we will solve the first question for you. If you want any…

Q: verify the identity  1 + sec ^2 x/ 1 + tan ^2 x = 1+ cos^2x

A: Note that 1+tan^2x = sec^2x  1/sec2x= cos2x

Q: Write sin 5x cos 9x as a sum or difference. Express your answer with even/odd properties applied.

A:

Q: If cos 0+sin 6= /2 cos 0, show that cos 0-sin 6 = /2 sin 6.

A:

Q: Prove that sin 4A = 4sinA cos³A – 4 cosA sin'A.

A: we have to show that the following

Q: Prove that; (a) cos4θ- sin4θ = cos 2θ  (b) Sin (π/4 + A) + Sin (π/4 - A) ≡ √2 cos A

A:

Q: Suppose that tanɑ=-- and 90°<a<180°. 3 Find the exact values of cos and tan 2 2 cos Undefined 2 ? a…

A: Using trigometric ratios

Q: What is the simplified form of cos 10z-cos 42 , sin 102+sin 4æ O -tan(7x) O -cot(7x) O tan(7x) O…

A: We will evaluate the given form to simplest form as shown below

Q: Find tan o if sin 0=2/3 and 0 terminates in q1

A:

Q: To evaluate sin 2x cos 2x dx , the identities to be used is/are: sin4x , 1+ cos4x A 2 2 ® cos?2x=1-…

A: To find The identities to be used.