Math, asked by laxanavijay, 10 months ago

tan 48degree tan23degree tan42degreetan67degree=1​

Answers

Answered by attreyeebiswas7
1

Step-by-step explanation:

tan 48 degree × tan 23 degree × tan 42 degree × tan 67 degree

= tan ( 90° - 42° ) × tan 42° × tan ( 90° - 67 ° ) × tan 67°

= cot 42 ° × tan 42 ° × cot 67 ° × tan 67 °

= 1 × 1 [ Since , tan theta × cot theta = 1 ]

= 1 [ Proved ]

Similar questions