Question

If cot²θ= evaluate : (i) (1+sinθ)(1−sinθ)/(1+cosθ (1−cosθ)

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Answer 1

Step-by-step explanation:

Goven

1+sin∅ × 1- sin ∅/ 1+cos∅ × 1+cos∅ here ∅ represent theta

1- sin^2∅/1-cos^2∅ since

$a ^{2} - b ^{2} ={ a - b} .{a + b}$

cos^2∅/ sin^∅ since 1- sin^2∅= cos^2 ∅

$tan^{2} theta$

so cot² ∅ = tan² ∅

which is required Answer

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