Question

Express tan ø In terms of cosec ø

Answer 1

I AM NOT HAVING THETA'S SYMBOL HENCE I WILL USE 'A' INSTEAD OF IT.

cosec a = 1/sin a =>sin a = 1/cosec a

tan a = sin a/cos a

sec a = 1/cos a =>cos a = 1/sec a

FOR FINDING TAN A REPLACE THE VALUES OF SIN A AND COS A.

tan a = (1/cosec a)/(1/sec a)

tan a = sec a/cosec a