Math, asked by kudupuganti1, 1 year ago

if 17sintheta=8 then value of 2tan theta÷1+tan square theta

Attachments:

Answers

Answered by odedarahitesh6p7je14
8
8 /17
2tantheta divided by 1 plus tan square theta
=sinthete
=8/17

kudupuganti1: sorry wrong
Answered by Panzer786
46
Heya !!!

17 Sinø = 8

Sinø = 8/17 = Perpendicular/Hypotenuse.

Perpendicular = 8 and Hypotenuse = 17

By pythagoras theroem,

(H)² = (B)² + (P)²

(B)² = (H)² - (P)²

(B)² = (17)² - (8)²

(B)² = 289 - 64

(B)² = 225

B = ✓225 = 15

Therefore,

Tanø = Perpendicular/Base = 8/15

2 Tanø / 1 + Tan²ø => 2 × 8/15 / 1+ (8/15)²

=> 16/15 / 1 + 64/225

=> 16/15 / 225 +64 /225

=> 16 / 15
__________

289/225



=> 16/ 15 × 225/ 289


=> 16 × 15/ 289

=> 240/289

HOPE IT WILL HELP YOU...... :-)
Similar questions