Prove the identity: csc 0 x tan 0 = sec 0

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A:

Q: Please solve a question on hyperbolic functions.

A: Let us first find x + iy and its complex conjugate x – iy. Complex conjugate can be found by…

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A:

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: Our Aim is to verify the identity given below:-tan (-θ) + cot -θtan θ=-cosec2 θ -(i)

Q: Assume that sin 0 = , where n/2 < 0 < n. Find: (a) tan 0 (b) sin 20 (c) csc

A:

Q: Verify the identity: (cos θ sec θ)/cot θ= tanθ.

A: We have to verify cosθ secθcotθ=tanθ We know that secθ=1cosθ and cotθ=cosθsinθ Now, LHS=cosθ…

Q: Prove the identity cot (x)+tan n(x)%3Dsec(x)csc (x)

A:

Q: Establish the identity. cos Ꮎ - sec Ꮎ = sin Ꮎ tan Ꮎ

A:

Q: Verify the identity: cos θ sec θ/ cot θ = tan θ

A: Given :cos θ secθcot θ=tan θTo verify the given identity .

Q: Select the expression that completes the identity tan(z) + cot(z) 01 - cos (z) O cos (z) – sin (z) O…

A:

Q: Prove the identity. sin^2(θ)−tan(θ)cos^2(θ)−cot(θ)=tan^2(θ)

A: We have to prove the identity                                         sin2θ-tanθcos2θ-cotθ=tan2θ

Q: Prove the identity. 2 tan 0 sin 20 1+ tan0 To verify the identity, start with the

A: Please refer to the image below.

Q: 3. Prove the identity of tan x + cot x = csc x sec x. Work on the left side.

A:

Q: Verify the identity. tan (x + 0) = tan e Write the left side of the identity using either the sum or…

A:

Q: Show that tan(x) + cot(x) = sec(x) csc(x). (Verify this identity.)

A: The answer is given below: Remember 1)   sin(x)cos(x)=tan(x)2)cos(x)sin(x)= cot(x)3) sin2(x) +…

Q: Prove that the following identity is true. sin x + 1 / cos x + cot x = tan x

A:

Q: Demonstrate the following identity tan^2⁡(θ/2)=(sec⁡(θ)-1)/(sec⁡(θ)+1)

A:

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: Given, sinθ.secθ=tanθ transform leftside to rightside from trignometric formula we know secθ=1cosθ…

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: To verify the identity,  secθ-cos(θ)=tan(θ)sin(θ) Consider the left hand side of the equation,…

Q: Use a difference identity to prove than tan(0+ t) = tan(6).

A:

Q: Verify that the equation is an identity. tan x sin x = cot x+ sec x csc X 1+ cos x 1- cos x

A: Given that  (tan x)/(1+cos x) + (sin x)/(1-cos x) = cot x + sec x csc x We have to prove the…

Q: Let tan (0) = 3 with 0 in QI. Find sec (20). 10 sec (20) =

A:

Q: Complete the identity. sin 2x- tan x = ? O A. tan x cos X O B. - tanx cos 2x O C. tan x cos 2x O D.…

A:

Q: prove the identity tanθ =1-cos2θ / sin 2θ

A:

Q: Verify the identity. tan (2n +0) = tan 0 Write the left side of the identity using either the sum or…

A:

Q: is cos x = 1/sec x an identity

A:

Q: Verify the identity. COs x + 1 sin x + sin x I + X 500 2 csc X

A:

Q: (5) Verify the following identities.(a) cot x + tan x = sec x csc x(b) sec4 x − sec2 x = tan4 x +…

A: (a) The given trigonometric identity is,

Q: Assume that sin 0 , where n/2 < 0 < 1. Find: (a) tan 0 (b) sin 20 (c) csc

A:

Q: Establish each identity given in attachment.

A: To Establish the identity given in attachment. 1+sinθ1-sinθ=secθ+tanθ2

Q: Use the De Moivre's Formula Prove: Express tan 40 in terms of tan e.

A:

Q: Verify the identity: tan2 t/sec t = sec t - cos t

A: Given : tan2tsect  = sect - cost

Q: 4. Use an identity to find the value of tan (6– 180°). O - tan 0 tan 0 1 O-1

A: 4. We need to evaluate the value of the following quantity tanθ-180° Identity Used : tanA-B =…

Q: Prove that following identities: (sin 0 + cosec 0)+(cos 0+sece=7 tan0+cot 0

A:

Q: Prove that the equation tan θ = sin θ sec θ is an identity.

A: we have to Prove that the equation tan θ = sin θ sec θ is an identity

Q: Verify the identity: tan 2t = 2 sin t cos t sec 2t.

A:

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: Given : secθ-cosθtanθ = tanθsecθ

Q: Use a sum or difference identity to find the exact value. tan 10° + tan 20° 1 tan 10° tan 20° O A.…

A:

Q: Determine whether the statement is true or false. tan−1(x) = sin-1(x)/cos-1(x)

A: Given,

Q: Prove that the following identity is true. sec 0 + 1 tan 0 %3D tan 0 sec 0 – 1

A: Given, secθ + 1 tanθ  Multiplying the numerator and denominator with secθ -1secθ -1 secθ + 1 tanθ *…

Q: 1. Prove the following identity: sec(0)-sin(0) sin? 0 %D tan(0)+cot(0)

A:

Q: Prove that the following identity is true. sin x + 1 cos x + cot x tan x

A:

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

A: *formula:- cos(A+B) = cosA*cosB - sinA*sinB.

Q: sin(x + y) – sin(x – y) = 2 cos x sin y

A: sinx+y-sinx-y=sinx cosy+cosx siny-sinx cosy-cosx siny=sinx cosy+cosx siny-sinx cosy+cosx siny=cosx…

Q: Use Theorem 1 to verify the formula.

A:

Q: Use the fundamental identities to match equivalent expressions. cos(0) + 1 tan(0) 1 а. cos(0) – 1…

A: Required solution for above questions are given below ;

Q: Verify the identity. 2 tan(x) 1 + tan?(x) sin(2x)

A: