Why does sine squared plus cosine squared equal 1?

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

How on earth is 1-cos(x) equal to 2sin^2(x/2)?

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

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

root ( 1 - cos theta )/(1+cos theta) = cosec theta - cot theta | Trigonometry class 10

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Q14 | Prove that 1 + cos theta into 1 - cos theta into 1 + cot square theta equal to 1 | Class 10

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

(Cosec ⛎-Cot ⛎)^2 =(1-cos ⛎)/(1+cos ⛎) #maths#class10

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

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

Orthogonal trajectories r = a( 1- cos theta) #maths