Question

Tan theta equal to 13/12 find 1-sin theta/1plus sin theta

Answer 1

Hii friend,

Tan theta = 13/12 = Perpendicular/Base

Perpendicular = 13 , Base = 12 , Hypotenuse = ?

We know that,

(H)² = (B)² + (P)²

(H)² = (12)² + (13)²

(H)² = 144 + 169

(H)² = 313

H = ✓313

Sin theta = Perpendicular/Hypotenuse = 13/✓313

Therefore,


1+ Sin theta / 1 - Sin theta = 1 + 13/✓313 / 1 - 13/✓313

= ✓313 + 1 / ✓313 -1

= ✓313 + 1 / ✓313 -1 × ✓313 +1 / ✓313 +1

= (✓313+1)² / (✓313)² - (13)²

= (✓313)² + (1)² + 2 × ✓313 × 1 / 313 -13

Solve this you will get your answer.


HOPE YOU GOT IT...... :-)