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

Answer:

B

Step-by-step explanation:

[tex]Sin \ theta = \frac{9}{15}=\frac{Opposite \ side}{hypotenuse}\\[/tex]

Pythagorean theorem,

Adjacent side ² = hypotenuse² - opposite side²

                         = 15² - 9²

                          = 225 - 81

                          = 144

Adjacent side = √144 = √(12*12) = 12

[tex]Tan \ theta = \frac{opposite \ side}{adjacent \ side}= \frac{9}{12}[/tex]

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