Question

prove that tan 48.tan 16.tan 42.tan 74=1​

Answer 1

We know that Cot(90 -∅) = Tan∅.

So,

tan48. tan16. tan42. tan74

= tan48. tan16. Cot(90-42). cot(90-74)

= tan48. tan16. cot48. cot16

= 1

.......... HENCE PROVED

.... ( USING COT∅. TAN∅ = 1)

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Answer 2

Answer:

We know that Cot(90 -∅) = Tan∅.

So,

tan48. tan16. tan42. tan74

= tan48. tan16. Cot(90-42). cot(90-74)

= tan48. tan16. cot48. cot16

= 1

.......... HENCE PROVED

.... ( USING COT∅. TAN∅ = 1)

______❗❗❗❗❗❗❗______

HOPE IT WILL HELP YOU....

PLEASE MARK MY ANSWER AS BRAINLIEST.