Question

If sin A = 6/10, then the value of cosec A is _______​

Answer 1

Answer:

Given that, sinθ+cosecθ=2

Squaring both sides, we get

(sinθ+cosecθ)

2

=2

2

⇒sin

2

θ+cosec

2

θ+2=4

⇒sin

2

θ+cosec

2

θ=2

Cubing both sides, we get

⇒(sin

2

θ+cosec

2

θ)

3

=2

3

⇒sin

6

θ+cosec

6

θ+3sin

2 θ.cosec

2 θ(sin

2 θ+cosec

2

θ)=8

⇒sin

6 θ+cosec

6 θ+6=8

⇒sin 6

θ+cosec 6 θ=2

Hence, C is the correct option.

Answer 2

Answer:

cosecA = 10/6

Step-by-step explanation:

sin A = 1/cosec A

6/10 = 1/cosec A

cosec A = 10/6

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