Question

Express cosec theta in terms of tan theta.​

Answer 1

Answer:

Step-by-step explanation

tanθ =1/cotθ

tanθ=______1______

           √[cosec²θ -1]

squaring on both sides

tan²θ=_____1_______

           cosec²θ-1

cosec²θ-1=1/tan²θ

cosec²θ=___1___  - 1

                 tan²θ

cosec²θ=(1-tan²θ)/tan²θ

cosecθ= √(1-tan²θ)/tan(1-tan²θ)