Question

if tan =a/b find cos, sin, sec, cosec.

Answer 1

Hello user☺☺

Tan = a/b = P/B.

Therefore, P = a and B = b.

So, by pythagorus theorem, Hypotenuse will be ..

H = (P^2 + B^2)^1/2

So,

Cos = B/H = b/ (P^2 + B^2)^1/2

Sin = P/H = a/ (P^2 + B^2)^1/2

Sec = H/B = (P^2 + B^2)^1/2 / b

And,

Cosec = H/P = (P^2 + B^2)^1/2 / a.

Hope this will help☺☺