`(a^3sin^3pi/2-b^3cos^3(pi))/(a^2sin^2pi/2+a bcospi-b^2cospi)`

cos((2pi)/3)-sin((2pi)/3)=?

sin pi/3 = 2sin pi/6 cos pi/6

Statement I : sin^2pi/8+sin^2(3pi)/8+sin^2(5pi)/8+sin^2(7pi)/8=2 Statement II cos^2pi/8+cos^2(3pi )/8+cos^2(5pi)/8+cos^2(7pi/8)=2 Statement III: sin^2pi/8+sin^(3pi)/8+sin^2(5pi)/8sin^2 (7pi)/8=3/2

The polar form of (i^(25))^3 is a. cos(pi/2)+isin(pi/2) b. cospi+i\ sinpi c. cospi-isinpi d. cos(pi/2)-\ i sin(pi/2)

The polar form of the complex number (i^(25))^3 is (a) cos(pi/2)+isin(pi/2) (b) cospi+isinpi (c) cospi-isinpi (d) cos((3pi)/2)+isin((3pi)/2)

sin((2 pi)/(3)+(2 pi)/(3))

Prove that: (a) 2sin^(2)(pi/2) + "cosec"^(2)((7pi)/2) cos^(2)(pi/3)=(3/2)^2 (b) 2sin^(2)((3pi)/4)+2cos^(2)(pi/4)+2sec^(2)(pi/3)=10

Let a=cos 0^@ sin² 270^@ - 2 cos 180^@ tan 45^@b=3 sin 180^@ *sec 180^@ + 2 cosec 90^@ - cos 360^@c=2 sec^2 pi cos 0^@ + 3 sin^2 (3 pi)/2-cosec pi/2 and d= tan pi cos (3 pi)/2+ sec 2 pi - cosec (3 pi)/2Find the value of (a+b+c+d).

(sin 3A -cos ((pi)/(2)-A))/(cos A+ cos (pi+3A))=

If the expression cos(x-3(pi)/(2))+sin(3(pi)/(2)+x)+sin(32 pi+x)-18cos(19 pi-x)+cos(56 pi+x)-sin(x+17 pi) is expressed in the form of a sin x+b cos x, then a+b is equal to