Question

if cos A = 0.5, find value of sin A​

Answer 1

hey mate!

cosA=0.5

=5/10=1/2

cos=adj/hyp

adj=1units.

hyp=2 units

hyp²=adj²+opp²

2²=1²+opp²

opp=√3 units

then sin A=√3/2

hope the answer helps u

Answer 2

Given,

cos A = 0.5

To Find,

The value of sin A =?

Solution,

We can solve the question as follows:

It is given that the value of $cosA = 0.5$.

We know the identity,

$sin^{2} A + cos^{2}A = 1$

Substituting the value of $cos A$ in the above formula,

$sin^{2}A + (0.5)^{2} = 1$

$sin^{2}A + 0.25 = 1$

$sin^{2}A = 1 - 0.25$

$sin^{2}A = 0.75$

$sin A = \sqrt{0.75}$

Now, 0.75 can be written as,

$0.75 = \frac{75}{100}$

        $= \frac{3}{4}$

Therefore,

$sin A = \sqrt{\frac{3}{4} }$

         $= \frac{\sqrt{3} }{2}$      (Since the value of $\sqrt{4} = 2$)

Hence, the value of sin A is equal to $\frac{\sqrt{3} }{2}$.