Question

16. If tan theta =1/root7,show that cosec square theta -sec square theta /cosec square theta plus sec square theta=3/4.Answer me fast ,I will mark you the branliest​

Answer 1

Answer:

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Answer 2

Answer:

7 cosec θ -3 cot θ =7

Squaring both the sides

(7 cosec θ -3 cot θ)² =7²

49 cosec²θ +9 cot² θ-42 cosecθ cotθ = 49

Replacing cosec²θ by 1+cot²θ and cot²θ by cosec²θ -1

We get

49 (1+cot²θ) +9 (cosec²θ -1)-42 cosecθ cotθ = 49

49 +49cot²θ +9 cosec²θ -9-42 cosecθ cotθ = 49

49cot²θ +9 cosec²θ -42 cosecθ cotθ = 9

(7 cotθ -3 cosec θ)² =3²

7 cotθ -3 cosec θ = ±3