Question

find the value of 7 cosec square theta is equal to minus 14 by 2 cot square theta​

Answer 1

Answer:

Given, 7cosecθ−3cotθ=7

(7cosecθ−3cotθ)

2

=49

On simplifying, we get

49cosec

2

θ−42cotθ.cosecθ+9cot

2

θ=49

⇒49(1+cot

2

θ)−42cosecθ.cotθ+9cot

2

θ=49

⇒42cosecθ.cotθ=58cot

2

θ ....(1)

Now, let 7cotθ−3cosecθ=x

Thus x

2

=49cot

2

θ+9cosec

2

θ−42cosecθ.cotθ

⇒x

2

=58cot

2

θ+9−58cot

2

θ (using (1))

⇒x

2

=9

⇒x=3

Answer 2

Answer:

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