Math, asked by nkk47, 1 year ago

prove that tan20.tan35.tan45.tan55.tan70=1

Answers

Answered by shivangiMylove

tan45 = 1
direct put the trigonometry function value

nkk47: what?

shivangiMylove: Identity

nkk47: how

shivangiMylove: tan 20. tan 70 = 1

shivangiMylove: tan 45 = 1

shivangiMylove: tan 35 . tan 55= 1

shivangiMylove: sum of thita value is 90 than answers will be 1

shivangiMylove: 20+70

shivangiMylove: 35+55

nkk47: tan20.tan70. is it like that if we made a sum of 90 than it will become 1

Answered by Anonymous

$\bf\large\color{Red}{Hey \: Friend}$

LHS = tan20.tan35.tan45.tan55.tan70
= tan 20.tan35.1.cot(90-55).cot(90-20)
= tan20.tan35.1.1/tan35.1/tan70
= 1×1×1×1×1
= 1 = RHS

nkk47: but how cot20 became 1?

nkk47: tan20*

Anonymous: see....... cot20 = 1/tan20 .....and we also had tan20 in the question..... so

Anonymous: tan20×1/tan20 = 1

nkk47: ok

nkk47: thanx.

Anonymous: wlcm

Anonymous: is it clear now

nkk47: yes.

Anonymous: thanx fr the brainliest☺☺

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