Question

. If tan =8/15, then find sin and cos O.​

Answer 1

Answer:

sin =8 /7 cos =15/7

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Answer 2

Step-by-step explanation:

tan = sin / cos

8/15= sin / cos

8 cos = 15 sin

cos = 15 sin / 8.(1)

now

sin² + cos² = 1

sin² + ( 15 sin /8) = 1

sin² + 225 sin²/64= 1

289 sin² / 64 = 1

sin² = 64/289

sin = 8/17 ( taking square root )

cos = 15 sin / 8

cos = 15 × 8/17/8

cos = 15/17

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