Question

If the cos θ = 5/13 and tan θ = 12/5, what is sin θ?

Answer 1

Answer: 12/13....Remember the shortcut SOH CAH TOA ——> sin = opposite/hypotenuse, cos = adjacent/hypotenuse, and tan = opposite/adjacent...know that for this problem tells you that cos = 5/13 and tan = 12/5 so thus sin = 12/13 (opposite = numerator of tan, hypotenuse = denominator of cos)

Answer 2

Answer:

$\frac{12}{13}$

Step-by-step explanation:

Using the trigonometric identity

tan x = $\frac{sinx}{cosx}$ ( multiply both sides by cos x )

sin x = tan x × cos x, that is

sinΘ = tanΘ × cosΘ

       = $\frac{12}{5}$ × $\frac{5}{13}$ = $\frac{12}{13}$