Question

What is the answer

Answer 1

Answer:

B

Step-by-step explanation:

sinΘ = $\frac{6}{7}$ = $\frac{opposite}{hypotenuse}$

This is a right triangle with hypotenuse 7 and opposite side 6

Use Pythagoras' identity to find the adjacent side a

a² + 6² = 7²

a² + 36 = 49 ( subtract 36 from both sides )

a² = 13 ( take square root of both sides )

a = $\sqrt{13}$

Then

cosΘ = $\frac{adjacent}{hypotenuse}$ = $\frac{\sqrt{13} }{7}$ → B