`"statement-1" (cos theta+isin theta)^(3)=cos 3theta+isin 3theta, i=sqrt(-1)` `bb"statement-2" (cos""pi/4+isin""pi/4)^(2)=i`

z=i+sqrt(3)=r(cos theta+sin theta)

Show that (cosec theta -cot theta )^(2) =(1-cos theta )/( 1+cos theta )

Show that (1)/( cos theta ) -cos theta =tan theta .sin theta

2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta) is equal to

If a= cos theta+ i sin theta , then find the value of (1+a)/(1-a)

Let theta in (pi//4,pi//2), then Statement I (cos theta)^(sin theta ) lt ( cos theta )^(cos theta ) lt ( sin theta )^(cos theta ) Statement II The equation e^(sin theta )-e^(-sin theta )=4 ha a unique solution.

The value of 3(cos theta-sin theta)^(4)+6(sin theta+cos theta)^(2)+4 sin^(6) theta is where theta in ((pi)/(4),(pi)/(2))

Prove that (cot theta -cos theta )/( cot theta +cos theta ) =(cos ec theta -1)/( cosec theta +1)

If tan(picostheta)=cot(pisintheta) , then cos(theta-(pi)/(4))=(1)/(2sqrt(2)) .

If costheta + sin theta = sqrt2 cos theta , prove that cos theta - sin theta = sqrt2 sin theta .