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3 years ago

Evaluate tan20.tan35.tan45.tan55.tan70

Mathematics

1 answer:

LiRa [457]3 years ago

3 0

Answer:

tan20.tan35.tan45.tan55.tan70 =1

Step-by-step explanation:

tan20.tan35.tan45.tan55.tan70

=tan(90-70) . tan(90-55) . tan45 .tan55. tan70

[we know, tan(90-θ)=cotθ]

=cot70 . cot55 . tan45 .tan55. tan70

= { tan70°.cot70°} {tan55°.cot55°}.tan45°

=1 . 1 . 1 [we know, tan∅.cot∅ = 1 & tan45°=1]

pls mark as brainliest.

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2 years ago

Evaluate tan20.tan35.tan45.tan55.tan70​

Evaluate tan20.tan35.tan45.tan55.tan70