Question

If cos ( θ ) = 3 7 and θ is in the 1st quadrant, find the exact value for sin ( θ ) .

Answer 1

`sin\Theta` will be equal to 0.9035

Explanation:

We have given
`cos\Theta =(3)/(7)=0.4285`

So
`\Theta =cos^(-1)(0.4285)=64.623^(\circ)`

Now we have to find the value of
`sin\Theta`

So
`sin(64.623)=0.9035`

So value of
`sin\Theta` will be 0.9035

We can also find the value of
`sin\Theta` by Pythagoras theorem