Question

If tan theta =cot (30+theta) find the value of theta

Answer 1

Step-by-step explanation:

Tan theta = cot (30 + theta)

i.e. tan theta = tan { 90 – (30 + theta)}                        [ Because, tan theta = cot( 90 – theta)]

i.e. tan theta = tan ( 90 – 30 –theta )

i.e. theta = 60 – theta

i.e. theta + theta = 60

i.e. 2 theta = 60

i.e. theta = 60 / 2

i.e. theta = 30°

Answer 2

Answer:

Step-by-step explanation: