Question

please answer this question ​

Answer 1

Answer:

(sec^2×cot^2)-cot^2=1=)1-cot^2=1

sin^2=1 (sin^2=1-cot^2)

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Answer 2

Topic

Trigonometry

To Prove

( sec²θ - 1 )cot²θ = 1

Formula

1 + tan²θ = sec²θ

tan²θ = sec²θ - 1

tanθ × cotθ = 1

Solution

Solving LHS,

( sec²θ - 1 )cot²θ

tan²θ × cot²θ

( tanθ × cotθ )²

1²

1

So, LHS = 1.

We observe that LHS = RHS.

Hence, Proved.

More Formulae

sin²θ + cos²θ = 1

1 + cot²θ = cosec²θ

sin2θ = 2sinθcosθ

cos2θ = cos²θ - sin²θ