Question

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

Answer 1

Trigonometric Functions -

$\cos = \frac{adjacent}{hypotenuse}$

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.

$b = \sqrt{15}$

Now we can get to the trigonometry functioms!

$\frac{ \sqrt{15} }{8}$

Divide them up, then find the percentage!

48% or...

$\frac{ \sqrt{15} }{8}$