Question

If theta lies in fourth quadrant and cos theta =3/7 then what is the value of sin theta/ 2

Answer 1

Given that theta lies in 4th Quadrant.

= > In 4th Quadrant, Sin and Tan are negative.

Given that cos x = (3/7).

We know that sin^2theta + cos^2theta = 1.

= > sin^2theta = 1 -cos^2theta 

= > sin^2theta = 1 - (3/7)^2

= > sin^2theta = 1 - 9/49

= > sin^2theta = -40/49

$= \ \textgreater \ sintheta = \sqrt{ \frac{40}{49} }$

$= \ \textgreater \ sintheta = \frac{2 \sqrt{10} }{7}$

Now,

$= \ \textgreater \ \frac{sintheta}{2} = -\frac{2 \sqrt{10} }{14}$

$= \ \textgreater \ -\frac{ \sqrt{10} }{7}$



Hope this helps!

Answer 2

Answer:

the above answer may be correct