secø+tanø=4 prove that cosø=8/17
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Answer:
SecØ +TanØ=4 SecØ= 4- TanØ squaring both sides ... SinØ= 15/17. Cos Ø= 8/17 and Sin Ø= 15/17. Hope this helps u
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CORRECTION IN YOUR QUESTION :
SECΦ+TANΦ=4, THEN FIND VALUES OF SINΦ AND COSΦ?
ANSWER.:
SecØ +TanØ=4
SecØ= 4-TanØ
squaring both sides
Sec²Ø= 16 + Tan²Ø- 8 TanØ
1+Tan²Ø=16 + Tan²Ø- 8 TanØ
we get 8Tan Ø= 15
TanØ=15/8
Tan²Ø= 225/64
Sec²Ø= 1+Tan²Ø
Sec²Ø= 289/64
SecØ =17/8
So CosØ=8/17
Sin²Ø=1-Cos²Ø = 1-64/289
Sin²Ø= 225/289
SinØ= 15/17
Cos Ø= 8/17 and Sin Ø= 15/17
HOPE IT'S HELPS YOU...... ✌
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