Prove that 1+cosx=2cos^2(x/2) and 1-cosx=2sin^2(x/2) trigonometric identites

Why does sine squared plus cosine squared equal 1?

1+cosx=2cos^2(x/2) trigonometry identites solve || 1+cos(theta)

1-cosx = 2sin^2(x/2) trigonometric identites proof || 1-cos theta

sin square theta + cos square theta = 1 How to prove?

(Cosec Theta-Cot Theta)2=1-Cos Theta/1+Cos Theta | (Cosec-Cot)2=1-Cos/1+Cos

Q18 | Prove that cos square theta plus 1 by 1 + cot square theta = 1 | cos^2⁡θ + 1/(1 + cot^2⁡θ) =1

Q6 | prove that 1 - cos square theta into cosec square theta = 1 | Prove that (1-cos^2⁡θ)cosec^2⁡θ=1

Q16 | Prove that 2cos^2⁡θ + 2/(1 + cot^2⁡θ) = 2 | 2 cos square theta + 2 by 1 + cot square theta = 2

( 1/1+cos theta ) + (1/1-cos theta)=2 cosec^2 theta

Trigonometry Ex :- 8.5 Question no. 5. (i). (Cosecθ - Cotθ)² = (1 - Cosθ)/(1 + Cosθ).

Prove that : 1/1+sin^2 θ + 1/1+cos^2 θ + 1/1+sec^2 θ + 1/1+cosec^2 θ = 2.

Prove that : sinθ/1+cosθ + 1+cosθ/sinθ = 2cosecθ ...|| Class 10 || rd question ||

1 upon secant squared theta minus cos squared theta + 1 upon cos squared theta minus

Sin theta/1+Cos theta + 1+Cos theta / Sin theta = 2 Cosec theta | Mathematics Class 10 | Identity

Prove that : (Cosecθ - cotθ)^2 = 1-cosθ/1+cosθ ...|| Class 10 || NCERT Maths & rd question ||

`(sintheta + sin2theta)/(1+costheta+cos2theta)=tantheta`

Q65 | Prove that cos⁡θ/(cosec⁡θ + 1)+cos⁡θ/(cosec⁡θ - 1)=2tan⁡θ | cos theta by cosec theta + 1 plus

`(tan^2 theta)/((sec theta-1)^2)=(1+cos theta)/(1-cos theta)`

If `costheta= 1/2(a+1/a),` show that `cos2theta = 1/2*(a^2 + 1/(a^2))`