Math, asked by dash23678, 5 months ago

cos9°+sin9°/cos9°-sin9°=tan 45°

Answers

Answered by raniswati3585

0

Step-by-step explanation:

cos9⁰+sin9⁰

__________

cos9⁰-sin9⁰

LHS

1+tan9⁰

______ ( Divided cos9⁰ numerator or denominator)

1-tan9⁰

tan45⁰+tan9⁰

__________ ( tan45⁰=1 )

1 -tan45⁰tan⁰

tan(A+B) = tanA+tanB

________

1- tanAtanB

tan(45⁰+9⁰) =tan54⁰

Hence, LHS=RHS

PROVED

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