If `asinx+bcos(x+theta)+bcos(x-theta)=d ,` then the minimum value of `|costheta|` is equal to (a)`1/(2|b|)sqrt(d^2-a^2)` (b) `1/(2|a|)sqrt(d^2-a^2)` (c)`1/(2|d|)sqrt(d^2-a^2)` (d) none of these

If asinx+bcos(x+theta)+bcos(x-theta)=d , then the minimum value of |costheta| is equal to (a) 1/(2|b|)sqrt(d^2-a^2) (b) 1/(2|a|)sqrt(d^2-a^2) 1/(2|d|)sqrt(d^2-a^2) (d) none of these

If a sin x+b cos(x+theta)+b cos(x-theta)=d then the minimum value of |cos theta| is equal to (a) (1)/(2|b|)sqrt(d^(2)-a^(2))( b )(1)/(2|a|)sqrt(d^(2)-a^(2))(c)(1)/(2|d|)sqrt(d^(2)-a^(2))(d) none of these

If a and b are positive numbers such that a gt b , then the minimum value of a sec theta- b tan theta (0 lt theta lt pi/2) is a) 1/sqrt(a^2-b^2) b) 1/sqrt(a^2+b^2) c) sqrt(a^2+b^2) d) sqrt(a^2-b^2)

The value of (lim)_(xvecoo)(tan^(-1)x))) is equal to (a)-1 (b) pi/2 (c) -1/(sqrt(2)) (d) 1/(sqrt(2))

The value of (lim)_(nvecoo)(tan^(-1)x))) is equal to -1 (b) pi/2 (c) -1/(sqrt(2)) (d) 1/(sqrt(2))

The value of (lim)_(nvecoo)(tan^(-1)x))) is equal to -1 (b) pi/2 (c) -1/(sqrt(2)) (d) 1/(sqrt(2))

If sintheta_1sintheta_2-costheta_1costheta_2+1=0, then the value of tan((theta_1)/2)cot((theta_2)/2) is equal to (a) -1 (b) 1 (c) 2 (d) -2

If sintheta_1sintheta_2-costheta_1costheta_2+1=0, then the value of tan((theta_1)/2)cot((theta_2)/2) is equal to (a) -1 (b) 1 (c) 2 (d) -2

The value of (lim)_((nvecoo)(tan^(-1)x))) is equal to -1 (b) pi/2 (c) -1/(sqrt(2)) (d) 1/(sqrt(2))

If sintheta_1sintheta_2-costheta_1costheta_2+1=0, then the value of tan((theta_1)/2)cot((theta_2)/2) is equal to -1 (b) 1 (c) 2 (d) -2