Question

Sin theta = 9/15. Find tan theta. A. 15/12. B. 9/12 C. 12/15 D. 12/9

Answer 1

B

Explanation:

`Sin \ theta = (9)/(15)=(Opposite \ side)/(hypotenuse)\\`

Pythagorean theorem,

Adjacent side ² = hypotenuse² - opposite side²

= 15² - 9²

= 225 - 81

= 144

Adjacent side = √144 = √(12*12) = 12

`Tan \ theta = (opposite \ side)/(adjacent \ side)= (9)/(12)`