Question

cot42*cot74*cot48*cot16.
Pls answer as soon as possible​

Answer 1

Step-by-step explanation:

cot 42 . cot 74 . cot 48 . cot 16

= cot (90-48) . cot 48 . cot (90-16) . cot 16

= tan 48 . cot 48 . tan 16 . cot 16

= tan 48 . 1/tan 48 . tan 16 . 1/tan 16

[ because cot theta = 1/ tan theta]

= 1 . 1

= 1

Dot (.) represent multiplication

Answer 2

Step-by-step explanation:

cot42° cot74° cot48° cot16°

(cot42° cot48°) (cot74° cot16°)

(tan(90°- 42°)cot48°) (tan(90° -74°) cot16°)

(tan48° cot48°) (tan16° cot16°)

(tan48° × 1/tan48°) (tan16° × 1/tan16°) {as cot=1/tan}

hence the answer is 1