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Prove that: (tantheta)/(1-cottheta)+(cot...

Prove that: `(tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+secthetacos e ctheta`

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tantheta /(1-cottheta ) + cottheta/(1-tan theta)= 1+sectheta*cosectheta

i) Prove that: (1+tan^(2)A)/(1-tan^(2)A) xx (2 cos^(2) A-1)=1 ii) Prove that: (tantheta)/(1+cottheta)+(cottheta)/(1+tantheta) = "cosec"theta.sectheta-1

Prove the following identity, where the angles involved are acute angles for which the expressions are defined. (iii) (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+sectheta cosectheta

Prove the trigonometric identities: (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+tantheta+cottheta

Prove that : (tantheta/(1-tantheta))-(cottheta/(1-cottheta))=(costheta+sintheta)/(costheta-sintheta)

Prove: tantheta+1/(tantheta)=sectheta\ cos e c\ theta

Prove the following identities: (sintheta)/(1-costheta)+(tantheta)/(1+costheta)=secthetacos e ctheta+cottheta

Prove that: ((1+tan^2theta)cottheta)/(c o s e c^2theta)=tantheta

i) Prove that: (cot^(2)A)/(1-"cosec"A)^(2)=(1+sinA)/(1-sinA) ii) Prove that: (costheta)/(1-tantheta)+(sintheta)/(1-cottheta)=sintheta+costheta

Prove that (1+sin2theta)/(1-sin2theta)=((1+tantheta)/(1-tantheta))^2

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