Question

if tan theta is equal to cot theta and theta is less than 90 find the value of theta

Answer 1

According to the question,

Value of theta is same for both tan and cot.

Now, referring to the trigonometric table,

Value of cot and tan are equal for an angle when the angle is 45°.
Also, it is less than 90°.

cot 45 = 1
tan 45 = 1

So, value of theta is 45°

Answer 2

Tan 9 a= cot a tan 9a= tan (90 -a) 9a=90-a 10a=90 a=9 cosec 5×9 cosec 45 √2. Comments; Report. 5.0. 4 votes. 4 votes.