Question

if Sin A is equals to half then find the value of Cos A

Answer 1

Answer:

Cos a=√3/2

Step-by-step explanation:

SinA=1/2.

Since sinx=opposite side/hypotenuse

Therefore opp side is 1 and hypotenuse side is 2

Since cosx=adjacent side/hypotenuse

We know hypotenuse value , we have to find adjacent value.

Therefore by Pythagoras theorem

Hypotenuse²=Opp²+adj²

2^2=1^2+adj^2

Adj²=4–1

Adj²=3

Adj=√3

Therefore CosA=√3/2

Or

We know that sin^a+cos^a=1

So, (1/2)²+cos²a=1

Cos²a=1-(1/4)

Cos²a=3/4

Cos a=√3/2

Answer 2

if sin A =1/2

and sin^a +cos^a=1

then,(1/2)^a+cos^a=1

,cos^a=1-(1/4)

,cos^a=3/4

,cos a=√3/4