Question

Can you guys help me find the cosine of both angle A and angle B?

Answer 1

Answer:

$\displaystyle \frac{5}{13} = cos∠B \\ \frac{12}{13} = cos∠A$

Step-by-step explanation:

$\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ \\ \\ \frac{10}{26} = cos∠B → \frac{5}{13} = cos∠B \\ \\ \frac{24}{26} = cos∠A → \frac{12}{13} = cos∠A$

I am joyous to assist you anytime.

Answer 2

Answer:

see explanation

Step-by-step explanation:

cosA = $\frac{adjacent}{hypotenuse}$ = $\frac{24}{26}$ = $\frac{12}{13}$

cosB = $\frac{adjacent}{hypotenuse}$ = $\frac{10}{26}$ = $\frac{5}{13}$