Math, asked by toijamlanchenbi, 3 months ago

prove that tan40° tan45° tan50°=1.​

Answers

Answered by jaiusankar
2

Step-by-step explanation:

= tan40° . tan45°.tan50°

= tan(90-50). tan 45 . tan 50

= cot50°.tan50°.(1)

= tan50°/tan50° . (1)

= (1).(1)

= 1

Answered by danishjibran
1

Answer:

Step-by-step explanation:

Tan40 . Tan45 . Tan50

Tan(90-50) . 1 . Tan50 [since Tan45=1]

Cot50 . Tan50 [since Tan(90-x) = Cotx]

Both cancelled [ since both are reciprocal]

Answer = 1

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