Question

Prove that :
1 - cos²theta /sin²theta =1​

Answer 1

Step-by-step explanation:

this is correct answer.

Answer 2

Let theta be 'A' for ease of writing.

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To Prove:-

↦ 1 - Cos²A/Sin²A = 1.

ID used:-

↦ Sin²A + Cos²A = 1.

↦ Sin²A = 1 - Cos²A. ------ eq(1).

Proof:-

Let us simplify LHS,

↦ 1 - Cos²A/Sin²A.

= Sin²A/Sin²A.

[From eq(1)].

= 1 = RHS.

Therefore LHS = RHS.

..Hence Proved..

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Proof by simplifying RHS:-

↦ 1

= Sin²A/Sin²A.

= 1-Cos²A/Sin²A = LHS.

[From eq(1)].

..Hence Proved..

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