Question

Question #6df80

Answer 1

`sin2theta`=`sqrt3/2`
`cos2theta=1/2`

Explanation:

`sintheta=1/2`
Draw an equilateral triangle and cut it in half to give a right angle triangle with sides in the ratio 1:2:`sqrt3` ( the hypotenuse is 2 and Pythagoras gives the third side as`sqrt3`
From this you can see that the angle whose sign is `1/2` is `30 degrees` if `theta =30` then `2theta=60 degrees`
From the same triangle we get sin60 and cos60