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Savatey [412]
3 years ago
12

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

Mathematics
1 answer:
Finger [1]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Sin \ theta = \frac{9}{15}=\frac{Opposite \ side}{hypotenuse}\\

Pythagorean theorem,

Adjacent side ² = hypotenuse² - opposite side²

                         = 15² - 9²

                          = 225 - 81

                          = 144

Adjacent side = √144 = √(12*12) = 12

Tan \ theta = \frac{opposite \ side}{adjacent \ side}= \frac{9}{12}

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