Question

Cos theta=8/17. Find tan theta

A. 15/8
B. 15/17
C. 17/15
D. 8/15​

Answer 1

A)
`(15)/(8)`

Explanation:

remember Soh Cah Toa!!

`sin=(opposite)/(hypotenuse)\\ cos=(adjacent)/(hypotenuse) \\tan=(opposite)/(adjacent) \\\\cos=(8)/(17)\\\\a^2+b^2=c^2\\8^2+b^2=17^2\\64+b^2=289\\b^2=225\\√(b^2) =√(225)\\b=15=opposite\\\\tan=(15)/(8)`