Question

Evaluate cos0 if sin0= sqrt(5)/3 a. 9/5 b. 2/3 c. 5/9 d. 3/2

Answer 1

Solution given:

$\sin( \alpha ) = \frac{\sqrt{5} }{3}$

so

P=√5

h=3

b=$\sqrt{3 {}^{2} - \sqrt{5} {}^{2} }$

b=2

so

$\cos( \alpha ) = \frac{b}{h} = \frac{2}{3}$

Note

$\alpha = 0$

b:⅔