If tantheta>0 and csctheta=2, find all the trigonometrical ratios of theta?

1 Answer

sintheta=1/2, csctheta=2, costheta=sqrt3/2, sectheta=2/sqrt3, tantheta=1/sqrt3 and cottheta=sqrt3

Explanation:

tantheta > 0 mean theta is either in Q1 or in Q3

As csc theta = 2, theta is in Q1 only.

As csctheta=2, sin theta = 1/2 = sin 30^@

Hence theta = 30 ^@

So,
cos 30^@ = sqrt3/2, sec 30^@ = 2/sqrt3, tan 30^@ = 1/sqrt3 = 0.57" which is greater than " 0, cot 30^@ = sqrt3, sin 30^@ = 1/2 and csc 30^@ = 2