Question

If cosecA=17/8 then find the value of cosA and cot A

Answer 1

Answer:

Given, cosecA=

8

17

⇒sinA=

cscA

1

=

17

8

We know sin

2

A+cos

2

A=1

⇒cos

2

A=1−sin

2

A

⇒cos

2

A=1−

289

64

⇒cos

2

A=

289

225

⇒cosA=

289

225

=

17

15

We also know tanA=

cosA

sinA

⇒tanA=

15

8