Prove the trigonometric identities: `(1+cotA+t a n A)(s in A-cos A)=(s e c A)/(cos e c^2A)-(cos e cA)/(sec^2A)=sinAtanA-cotAcosA`

Prove the trigonometric identities: (1+cot A+tan A)(sin A-cos A)=(sec A)/(cos ec^(2)A)-(cos ecA)/(sec^(2)A)=sin A tan A-cot A cos A

Prove the trigonometric identities: (1)/( sec A+tan A)-(1)/(cos A)=(1)/(cos A)-(1)/(sec A-tan A)

Prove the following identity: (1-s in A cos A)/(cos A(sec A-cos ecA))(sin^(2)A-cos^(2))/(sin^(3)A+cos^(3)A)=sin A

Prove the following identity: (sn^(3)A+cos^(3)A)/(s in A+1-tan A)+(sin^(3)-cos^(3)A)/(s in A-cos A)=2

Prove the following identity: ((1+cot theta+tan theta)(s/h eta-cos theta))/(sec^(3)theta-cos ec^(3)theta)=sin^(2)theta cos^(2)theta

Prove that: s in3A+s in2A-s in A=4s in A(cos A)/(2)(cos A)/(2)cos3(A)/(2)(cos(3A))/(2)

Prove that : (abc)/(s) cos (A)/(2) cos (B)/(2) cos (C )/(2) = triangle .

x=e^t (sin t + cos t ),y=e^t(sin t -cos t)

(lim)_(x->0)((1-t a n x)/(1+sin x))^(cos e c\ x)

Prove the following identity: (tan theta+sec theta-1)/(tan theta-sec theta+1)=(1+s int n eta)/(cos theta)