If sin A=1/16 what is cos A

Question

In a right triangle <A is acute

Answer 1

You can use the definition of sin(θ) to find cos(θ).

 

 

 

sin(A) = opposite/hypotenuse.

 

 

Here you set 1/16 = opposite/hypotenuse and may choose the values to be opposite side = 1 and hypotenuse = 16.

 

 

 

Then use the Pythagorean theorem to find the adjacent side:

 

adjacent side = √(16² - 1²) = √255.

 

 

So, cos(A) = adjacent/hypotenuse = √255 / 16.