Question

If tan theta= cot (30+2theta) , then find the value of theta ?

Answer 1

Answer:

tan Ф = cot(30+2Ф)

cot(90-Ф) = cot(30+2Ф)        (→tanФ = cot(90-Ф)

90-Ф = 30 + 2Ф

3Ф = 90-30

3Ф=60

Ф= 20

Answer 2

Answer:

thetha = 20

Step-by-step explanation:

Given,

tanΦ = cot ( 30 + 2Φ )

Since we know,

tan Φ = cot ( 90 - Φ )

Substituting this value of tan Φ

cot ( 90 - Φ ) = cot ( 30 + 2Φ )

Dividing both the sides by cot Φ

( 90 - Φ ) = ( 30 + 2Φ )

90 - 30 = 2Φ + Φ

60 = 3Φ

Dividing both the sides by 3,

3Φ / 3 = 60 / 3

Φ = 20

Hence,

thetha = 20