`sin^2 5 0^(@)+cos^2 13 0^(@)=` (i)`0` (ii)`1` (iii)`-1` (iv) `-2`

In a triangle ABC if sin B=(1)/(2)=cos A then 3cos B-4cos^(3)B=(i)sin C(ii)cos C(iii)0(iv)3(sqrt(3))/(2)

If p+iq=0 then p+q is (i) 1(ii)-1(iii)-2 (iv) 0

If f(x)= |x - 1| + |x - 3|, then f'(2)= (i)-2 (ii)-1 (iii)0 (iv)2

Value of integral int_(0)^( pi/2)sin^(3)x(1-cos x)^(11)dx(i)-(15)/(13)(ii)-(15)/(14)(iii)-(15)/(272)(iv)-(15)/(182)

If f(x)=mx+c and f(0)=1=f'(0) then f(-2)= (i) 1 (ii) -1 (iii) 3 (iv) +-1

The average value of sin2^@,sin4^@, sin6^@.........sin180^@ is (i) 1/90 cos1^0 (ii) 1/90 sin1^0 (iii) 1/90cot1^0 (iv) none of these

The average value of sin2^@,sin4^@, sin6^@.........sin180^@ is (i) 1/90 cos1^0 (ii) 1/90 sin1^0 (iii) 1/90cot1^0 (iv) none of these

The average value of sin2^@,sin4^@, sin6^@.........sin180^@ is (i) 1/90 cos1^0 (ii) 1/90 sin1^0 (iii) 1/90cot1^0 (iv) none of these

lim_(x rarr0)(2int_(0)^(cos x)cos^(-1)tdt)/(2x-sin2x) is equal to (i) 0 (ii) (1)/(2)( iiii) -(1)/(2)( iv) (2)/(3)