1 in tan 3 +coS -1

Q: Verify the identity: 1-cos 2x !! tan x sin 2x

A: The given identity is 1-cos2xsin2x=tanx.

Q: Cos x = Cos" x 1-

A: In this question we have to prove cosx=cos-1x.

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: Verify that Cos(x)=(1-(tan^2)(x/2))/(1+(tan^2)(x/2))

A:

Q: Prove the identity:  4 sin (3x) cos (4x) = 2 sin (7x) - 2 sin (x)

A:

Q: Verify the identity: 1/(sin θ + cos θ)+1/(sin θ - cos θ) = 2 sin θ/(sin4 θ- cos4 θ)

A:

Q: Establish the identity. 1- cos 0 sin 0 = 2 csc 0 sin 0 1- cos 0

A: We have to prove, 1-cosθsinθ+sinθ1-cosθ=2 cscθ

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

A:

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

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

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

A:

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

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

Q: Verify the identity : (1 - cos 2x)/sin 2x = tan x

A: Given that:   To use the angle formulae: cos 2x = cos 2 x - sin 2 x sin 2x = 2 sin x . cos x sin 2 x…

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

A:

Q: establish each identity.

A: To establish each identity, lntanθ=lnsinθ-lncosθ

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

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

Q: Verify the identity:(1 - tan2 x)/(1 + tan2 x)= cos 2x

A: Given 1-tan2x1+tan2x=cos2x

Q: III. Verify the identity. 5.) 1-Cos 2x tan?x %3D 1+ cos 2x

A:

Q: Prove the identity. sin 2x- sin 6x - tan 2x cos 2x+ cos 6x

A: The objective is to prove The Identity.

Q: Verify the identity 2 sin3θ cos θ + 2 sin θ cos3θ= sin 2θ.

A:

Q: Show that sin² 0 cos² 0 8 1 cos (40). 8

A: To show that: sin2θcos2θ=18-18cos(4θ) Solution: We know: 2sinxcosx=sin(2x)    ..(1)cos(2x)=1-2sin2x…

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: vertify : 4-4 cos2x / sin 2 x = 2 tan x

A: First use trigonometric identities and prove from LHS to RHS. Than take any random value of x and…

Q: Prove the identity. cosx- cos 7x tan 3x %3D sinx+ sin 7x

A: Here we use basic formulas of trigonometric ratios to find addition and subtraction.

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

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

Q: Establish the identity. 2 cos - 0 1- 1+ sin 0 = sin 0

A:

Q: 25л then 6. If 0 sin(0) - cos(0) =

A:

Q: Verify the identity: 2 sin3 θ cos θ + 2 sin θ cos3 θ = sin 2θ

A: Verify the identity: 2 sin3 θ cos θ + 2 sin θ cos3 θ = sin 2θ

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

A: Simplification of trigonometry function

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

A:

Q: Establish the identity 2 2 cos - sin 0 2, 1 - tan 0 2 = cos 0.

A: To establish the identity

Q: Prove the Identity 1-tan^4(x)=cos(2x)sec^4(x)

A: 1-tan^4(x)=cos(2x)sec^4(x)

Q: 7. Prove the identity. 1-cos 20 tan 0 %3D sin 20

A:

Q: cos(sin (0.1612)) -0.0131 O 0.9869 O 2.9869 O -1.0131 O 1.9869

A: sin^-1(0.1612)=0.1619064343923739 cos(0.1619064343923739)=0.98692175981 that is equal to =0.9869

Q: Show that 1 1. sec-1 x = cos-1 x = cos-1 1-x 2. cos-1x = tan-1 1+x Find the exact value 1.cos[sin-1-…

A:

Q: Verify the identity.  (1 − (cos x)2)(sec x)2 = (tan x)2   (1 − (cos x)2)(sec x)2 = (_______)/(cos…

A: We can use trigonometrical identity in order to solve the given problem.

Q: 4. Simplify sin 0-1 cos 8-1

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: Verify the identity 2 tan α/2 = (sin2 α + 1 - cos2 α)/sin α(1 + cos α)

A: Verify the identity 2 tan α/2 = (sin2 α + 1 - cos2 α)/sin α(1 + cos α)

Q: Verify the identity: (cos2 x - sin2 x)/(1 - tan2 x) = cos2 x

A: Verify: cos2x-sin2x1-tan2x=cos2x

Q: 4. cos' (sin (7 /6 )) 5. sin 1 (cos (π/ ) 6. tan (sin (3n/2))

A:

Q: 17 prove 4 Cos" ☺ - Sin" 0 = Cos20

A:

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

A:

Q: Verify the identity : cos (x - 5π/4) = - √2(cos x + sin x)/2.

A: Consider the given expression as, cosx-5π4