Math, asked by AnupRV, 1 year ago

cos21-sin83=-2sin14sin7

Answers

Answered by BrainlyHulk
5
Dear Friend ♡,

This proof is done by Trigonometric formula of

Cos x - Cos y = - 2 Sin (x+y)/2 × Sin (x-y)/2

Proof :

LHS

= Cos 21 - Sin 83

= Cos 21 - Sin ( 90 - 7 )

= Cos 21 - Cos 7

》 Now use the Formula given above.

Cos 21 - Cos 7 = - 2 Sin ( 21 + 7)/2 × Sin ( 21- 7 )/2 = - 2 Sin 28/2 × Sin 14/2 = - 2 Sin 14 × Sin 7

= 《《RHS》》

☆ Hence proved !!!! ☆

BrainlyHulk: is your doubt complete
Shubhangi4: I d k his doubt but my doubt is finished.... Nice answer♥
Shubhangi4: *i d k his doubt is finished or not
AnupRV: thank you bro
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