Cos x = Cos" x 1-

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

A:

Q: Verify the identity: cos2 x - sin2 x = 2 cos2 x - 1

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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: 2) VERIFY THE IDENTITY sin +0 =-cos 0. 2.

A: We need to verify the identity.

Q: Verify the identity: (cos 3x - cos 5x)/(sin 3x + sin 5x) = tan x.

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Q: Verify the identity : cos (x - π/4) = √2(cos x + sin x)/2.

A: We use cos(A-B)=cosAcosB+sinAsinB formula

Q: Prove the identity sec x - cos x = sinxtanx

A: To prove the identity

Q: Prove the identity. sin 2x = tanx 1+cos 2x

A: Explanation of the solution is given below....

Q: Verify the identity.

A: We have  cosx-5π2=sinx   It is known that cosA-B=cosAcosB+sinAsinB   Consider LHS:…

Q: Prove the identity. cos(3x) − cos^3 x = − cos x sin^2 x − sin x sin(2x)

A:

Q: 2

A: Prove: cos²(x/2)=(sin²x)/(2-2cosx)

Q: Prove the identity. cos²x 1+ sinx (1– sinx)? 1- sinx

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Q: * Prove: sin x = cos COS 2- 2cos x

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Q: Osl 2. 2Sin x- CosX+1 = 3 tan x 2 Cos?x

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Q: Prove that cos 2x | tan x + cos 2x ).

A: we need to prove, 1-Cos2x1+Cos2x = tanx

Q: EX/Show that cos"x (1+ cos2x)

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: 1- sin2x/1+cos x=cos x. Verify the identity

A: The given identity:

Q: Find the value of cos(4x) if = 4. 3 1-cos(x)-sin(x)

A: trigonometry

Q: Verify the identity: 4 cos x cos 2x sin 3x = sin 2x + sin 4x + sin 6x

A: We have to verify the identity: 4cosxcos2xcos3x=sin2x+sin4x+sin6x We know that…

Q: Given that sin2   x + cos2  x = 1 and sin x = −√2/5, what is the possible value of cos x

A:

Q: Establish the identity. (5-) - sin cos 0 %3D

A: Given,          sinπ2-θ=cosθWe know that,           sinA-B=sinAcosB-cosAsinB

Q: 21 Prove the identity.cos x (1 ²x) 2 2. - sin sec X,

A: Consider the given identity cos2x1-sec2x=-sin2x.

Q: Which is equal to (sin⁡x+cos⁡x)^2+(sin⁡x−cos⁡x)^2 using identities?

A: Now we use identity  Sin2x +cos2x =1 And formula (a+b)2= a2 +b2 + 2ab  (a-b)2 = a2 + b2 - 2ab

Q: Prove 3n - T, 2 sin? x – sinx cosx – 2 cos? x=0 in has five root's Hint. Intermediate value theorem

A: Corollary of Intermediate value theorem :- If a continuous function has values of opposite sign…

Q: 1 Prove that sin x tan x = cos x. cosx

A:

Q: Find the point of intersection of cos(x)=cos^-1(x)

A: We will find the point of intersection using the graph.

Q: Prove ONE of the follow sin x+ cos 2x-1 tan x %3D a) cos x-sin 2x

A:

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

A: Simplification of trigonometry function

Q: x=cos¬! 1 prove that sec" X= cos

A: Given sec-1x=cos-11x

Q: 4) Verify. cos²(x)[1 C. – tan²(x)] = cos(2x)

A:

Q: If ln sin x = 1 + ln cos x, then x is equal to what.

A: Given that , lnsinx=1+lncosx find value of x.

Q: Prove the identity. + sin 3 cos x- cosx

A:

Q: Prove the identity. ex(1- sin'x) = So cosx | %3D

A: Prove the identity- Secx(1 - sin2x) = cosx. We know that : sin2x + cos2x = 1 Here i attached…

Q: VERIFY THE IDENTITIES

A: To verify

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

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Q: Prove cos* x – sin* x =1–2sin² x

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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: sin(x - ) = -COS X 2

A:

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: Prove the identity. sin 2x cotx %3D 1- cos 2x

A:

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

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

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Q: 17 prove 4 Cos" ☺ - Sin" 0 = Cos20

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Q: Verify the identity. cos (x+n) = - COSX

A: By using trigonometric formula, we verify the given identity