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Evgesh-ka [11]
3 years ago
6

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]

=1

pls mark as brainliest.

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