Question

show That : tan 1 ×tan 2 x tan 3....tan 89° = 1 ​

Answer 1

Step-by-step explanation:

I have solved this in two ways

YOU CAN EASILY UNDERSTAND IT

Answer 2

Answer :-

tan 1 × tan 2 × tan 3 ....... tan 87 × tan 88 × tan 89 = L.H.S

=> tan 1 × tan 2 × tan 3....... tan (90 - 3) tan (90 - 2) tan (90 - 1)

=> tan 1 × tan 2 × tan 3 ...... cot 1 × cot 2 × cot 3

=> 1 × 1 × 1 ....1 × 1

=> 1 = R.H.S

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