Question

find the value of tan 63 degree X tan 27 degree

Answer 1

tan (90 -x ) = cot x

So, tan 63 is tan (90-27) = cot 27
Hence, tan 63 * tan 27
= cot 27 * tan 27
= 1

Answer 2

Answer:

tan 63 degree * tan 27 degree = 1

Step-by-step explanation:

We need to find,

tan 63 * tan 27

We know,

Tan ( 90 - Φ ) = cotΦ ( Let this be Eqn 1 )

Now, Taking tan 63,this can also be written as :

tan ( 90 - 27 )

According to Eqn 1,

tan ( 90 - 27 ) = cot 27

We also know,

cot Φ = 1 / tanΦ

cot 27 = 1 / tan 27

So,

cot 27 * tan 27 = 1 / tan 27 * tan 27

= 1

Hence,

tan 63 degree * tan 27 degree = 1