Question

secø+tanø=4 prove that cosø=8/17​

Answer 1

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

Answer 2

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...... ✌