Question

tan 63° × tan 27° = ?

Answer 1

Tan(90°-63°)×tan63°

Cot63°×tan63°

1/tan63°×tan63°(cot is equal to 1/tan)

=1

Answer 2

Answer:

The value of given expression is 1.

Step-by-step explanation:

The given expression is

$\tan 63^{\circ}\times \tan 27^{\circ}$

In can be written as

$\tan 63^{\circ}\times \tan 27^{\circ}=\tan 63^{\circ}\times \tan (90-63)^{\circ}$

Using quadrant concept $\tan (90-x)=\cot x$

$\tan 63^{\circ}\times \tan 27^{\circ}=\tan 63^{\circ}\times \cot 63^{\circ}$

$\tan 63^{\circ}\times \tan 27^{\circ}=\tan 63^{\circ}\times \frac{1}{\tan 63^{\circ}}$        $[\cot x=\frac{1}{\tan x}]$

$\tan 63^{\circ}\times \tan 27^{\circ}=1$

Therefore the value of given expression is 1.