Math, asked by nm097690, 1 year ago

(1) cos 389 cos 52° – sin 38° sin 52° = 0
11​

Answers

Answered by Anonymous
3

Correct Question : -

Show that cos 38° cos 52° - sin 38° sin 52° = 0

SoluTion : -

=> cos 38° cos 52° - sin 38° sin 52*

=> cos 38° cos ( 90° - 38° ) - sin 38° sin ( 90° - 38° )

=> cos 38° sin 38° - sin 38° cos 38°

=> 0

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Answered by Anonymous
6

HEY MATE YOUR ANSWER IS HERE

CORRECT QUESTION :-

COS 38° COS 52° - SIN 38° SIN 52° = 0

ANSWER :-

ACCORDING TO TRIGNOMETRIC COMPLEMENTARY ANGLES

→ SIN∅ = COS (90 - ∅)

HENCE ,

SIN (90 - 38) COS 52 - COS(90 - 38) SIN 52

= SIN 52° COS 52° - SIN 52° COS 52°

= 0

THANKS FOR YOUR QUESTION HOPE THIS HELPS

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