`(log)_(t_1)(4sin9^0cos9^0)w h e r e\ t_1=4sin 63^0cos 63^0\ e q u a l s` a.`(sqrt(5)+1)/4` b. `(sqrt(5)-1)/4` c.`1` d. none of these

If sin^(-1)x+cot^(-1)(1/2)=pi/2,\ t h e n\ x is a. 0 b. 1/(sqrt(5)) c. 2/(sqrt(5)) d. (sqrt(3))/2

If tan(cos^(-1)x)="sin"(cot^(-1)(1/2)) then x is equal to- a. 1/sqrt(5) b. 2/sqrt(5) c. 3/sqrt(5) d. sqrt(5)/3

If x=2cos^(-1)(1/2)+sin^(-1)(1/(sqrt(2)))+tan^(-1)(sqrt(3))\ a n d\ y=cos(1/2sin^(-1)(sin(x/2))) then which of the following statement holds good? a. y=cos((3pi)/16) b. y=cos((5pi)/16) c. x=4cos^(-1)y d. none of these

2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta)+1 is equal to a. 0 b.1 c.-2 d. none of these

If z=(i)^(i)^(i) where i=sqrt(-1),t h e n|z| is equal to 1 b. e^(-pi//2) c. e^(-pi) d. none of these

If sintheta=-1/2a n d\ t a ntheta=1/(sqrt(3))t h e n\ theta s equal to- 30^0 b. 150^0 c. 210^0 d.none of these

Differentiate w.r.t x x^(4)(5sin x-3 cos x)

The values of cos^2 73^0+cos^2 47^0-sin^2 43^0+sin^2 107^0 is equal to: (a) 1 (b) 1/2 (c) (sqrt(3))/2 (d) sin^2 73^@+cos^4 73^@

If A+B+C=pi,\ t h e n\ |"sin"(A+B+C) sinB cosC -sinB 0 tanA "cos"(A+B) -tanA 0| is equal to a. 2sinB tanA cosC b. 1 c. 0 d. none of these

Prove that 2 (sin^(6)theta +cos^(6) theta ) - 3(sin^(4)theta +cos^(4) theta ) + 1 = 0