Prove the following identity: `(s e c A\ s e c B+t a n AtanB)^2-(s e c A\ t a n B+t a n A s e c B)^2=1`

Prove the following identity: (t a n A)/(1-cot A)+(cot A)/(1-t a n A)=(s e c A\ cos e c\ A+1)

Prove the following identity: (1+cottheta-cos e ctheta)(1+t a ntheta+s e ctheta)=2

Prove the following identity: cos e c\ theta(s e ctheta-1)-cottheta(1-costheta)=t a ntheta-sintheta

Differentiate the following function with respect of x :(xtanx)/(s e c x+t a n x)

Prove the following identity: (t a ntheta+s e ctheta-1)/(t a ntheta-s e ctheta+1)=(1+sintheta)/(costheta)

If A+B+C=180^0 , then (t a n A+t a n B+t a n C)/(t a n A t a n B t a n C) is equal to t a n A t a n B t a n C b. 0 c. 1 d. none of these

What should come next in the following letter series A B C D P Q R S A B C D E P Q R S T A B C D E F P Q R S T

If A+B+C=180^0 , then (t a n A+t a n B+t a n C)/(t a n A\ t a n B\ t a n C) is equal to a. t a n A t a n B t a n C b. 0 c. 1 d. none of these

If the angles of ∆ABC are in ratio 1:1:2, respectively (the largest angle being angle C), then the value of s e c A c o s e c B secAcosecB - t a n A c o t B tanAcotB is (a) 0 (b) 1/2 (c) 1 (d) √3/2

If A+B+C=pi,\ t h e n\ |"sin"(A+B+C)s in B cos C-s in B0t a n A"cos"(A+B)-t a n A0| is equal to 2s in B t a n A cos C b. 1 c. 0 d. none of these