(গ) দেখাও যে, I+cosA=cot'A

Q: Prove that 1-x ', V 2 1+x cos'x = 2 sin 2cos 2 COS 1 -1

A:

Q: sin 20 5) Verify tan 0 %3D 1+cos 20

A:

Q: Prove that 1<x/sinx<π/2 for all x ∈ (0,π/2)

A: We are given: x∈0,π2 ⇒0&lt;x&lt;π2 Now, we know that sin x is increasing function in x∈0,π2…

Q: Verify the identity : 1-cosx sinx = 2 csc x sinx 1– COsx 2.

A: Given- 1-cosxsinx+sinx1-cosx=2cscx To verify- The above identity. Identity Used- sin2x=1-cos2x

Q: Prove that cos(sinx) = /1 – x².

A:

Q: prove that 2. = - Cotx + C 2 |- Cos?x + Sinx

A:

Q: prove the identity cos^3x sin^3x =(sin^3x-sin^5x)cosx

A:

Q: Prove that 1.) 1+sec^2\theta \sin ^2\theta =\sec ^2\theta  2.) \frac{sin\theta }{1-cos\theta…

A: Please see the below picture for detailed solution.

Q: sin40 Prove 8cos 0 – 4cos0, show preliminaries to perform sino

A:

Q: Express sin6 Oin terms of powers of sin Oonly

A: We have given,  sin6θ we have to express it in the term of sin only.

Q: Verify the Identity: sec^6 x (secxtanx) - sec^4 x (secxtanx) = sec^5 x tan^3 x

A: We will use trigo identity to solve this

Q: Prove cos x (1+sinx 1-sinx sin x. 4 1-sinx sinx+1/

A:

Q: 2, 2. prove that tan¯0+cot-0+2= sec´0cosec´0

A:

Q: prove that sec-1x = cos-11 = cos-11

A:

Q: Verify the identity: cot2 2x + cos2 2x + sin2 2x = csc2 2x

A: The given identity is ot2 2x + cos2 2x + sin2 2x = csc2 2x

Q: 6. Verify the identity: sin x 1 + cosx 1 + cosx sin x 2 cscx %3D

A: Topic = Trigonometry

Q: Prove + cosß)* +(sina + sinß) = 4cos² a - B) %3D

A:

Q: Prove the identity. 1+ sinx cosx =2 seex cosx 1+ sinx

A: We need to prove the following identity 1+sinxcosx+cosx1+sinx = 2secx

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

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

Q: 10) Verify the identity sin0+cos0 sin0-cose %3D = sec0csc0 cose sino

A:

Q: Prove that 1-cos2x+sin2x 1+cos2x+sin2x = tan x

A:

Q: Prove that sin3x/sinx - cos3x/cosx = 2

A:

Q: identities are most useful for proving that 2cosx = cos 2x +1? What two common

A: Using identities of trigonometric function

Q: Prove the identity.   (1-tanx)^2=sec^2x-2tanx.

A: We have to prove the identity(1-tanx)2= Sec2x - 2 tanx

Q: prove tan^4x=cos4x-4cos2x+3/cos4x+4cos2x+3

A: Basic trigonometry proof

Q: Verify: 1. (sinx – cosx)² – 1 = -sin2x %3D

A: We can verify the statement as below

Q: Suppose that sin(θ)=2/6. What sec(θ)=______.

A: As we know that; The trigonometric ratios;…

Q: Prove (cosa + cosB) + (sina + sinß)° = 4cos²- « - B) %3D

A: Prove this equation by using some trigonometry identity

Q: Prove (Start either from the LHS or the RHS but DO NOT work from both sides at the same tim 3. Prove…

A:

Q: prove that 2. = - Cotx + C |- Cosx +Sinx

A: This question is fairly based on simple formulas of trigonometry and calculus

Q: Show that 3(sinx-cosx)*+6(sinx + cosx)²+4 (sinºx+cos°x) = 13 %3D

A:

Q: If 16(sinx) + 16(cosx)2 10 then x-.. %3D

A: Given that 16(sin x)2+16(cos x)2=10. That is 16sin2x+16cos2x=10. We have to find x value.

Q: Verify identity cot2 2x + cos2 2x + sin2 2x = csc2 2x.

A:

Q: Prove sec theta-tan theta=1-tan theta/2/1+tan theta/2

A: We have to prove that, sec θ-tan θ=1-tanθ21+tanθ2

Q: Prove that = tan 0 + cot 0 (cosec 0-sin 6)(sec 0-cos 0)

A:

Q: Cos(asin '(3%5 3/5

A:

Q: Prove the identity. secx (1-sin'x) = cannot b cosx %3D

A:

Q: 9. Prove: csc(x)-csc(x)cos² (x) = sin(x)

A: To prove: csc(x)-csc(x)cos2(x)=sin(x) Note that, sin2(x)+cos2(x)=1

Q: Prove sinxtanx + sinx tanx 1 cosx is an identity.

A:

Q: 1- Verify the identity sin²0 + 2cos0 – 1 1 - %3D sin²0 + 3cos0 – 3 - sec®

A:

Q: Verify the identity : 2 sin2x-1= 1- 2 cos2x

A:

Q: Prove CotA= sin2A/1-cos2A

A:

Q: (cos 20+ jsin 20) (cos 60+ jsin 60)1" (cos 30+ jsin 30)°(cjs 1000)

A: the given expression is cos 2θ+jsin 2θ5cos 6θ+jsin 6θ10cos 3θ+jsin 3θ9cjs 10θ Using De Moivre's…

Q: Integrate sin®19uelog (cosu)

A:

Q: Prove the identity  cotx (1-cos2x)=sin2x

A:

Q: 1+cosx/1-cosx = (cscx + cotx)^2   Prove

A:

Q: sin2 (5) : O cos2 () csc2 ( ) O csc2 ( 4) O cos2 ( 4)

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.