Question

Find the exact value of cos0. Express your answer as a fraction.

Answer 1

Trigonometric Functions -

`\cos = (adjacent)/(hypotenuse)`

Find the opposite side, first of all.

Pythagorean Theorem -

`a^(2) + b^(2) = c^(2)`

Input the hypotenuse and opposite sides to find b^2.

`49 + {b}^(2) = 64`

Minus 49 from equations to get b^2 by itself.

`{b}^(2) = 15`

Square root b^2 and 15 to get b by itself.

`b = √(15)`

Now we can get to the trigonometry functioms!

`( √(15) )/(8)`

Divide them up, then find the percentage!

48% or...

`( √(15) )/(8)`