Home
Class 10
MATHS
Prove the following trigonometric ide...

Prove the following trigonometric identities : `cot^2theta-1/(sin^2theta)=-1` (ii) `(1+tan^2theta)(1+sintheta)(1-sintheta)=1`

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|366 Videos

  • TRIGONOMETRIC RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|249 Videos

Similar Questions

Explore conceptually related problems

Show : (1+tan^2theta)(1+sintheta)(1-sintheta) = 1

Prove the following trigonometric identities: cos^2theta+1/(1+cot^2theta)=1 (ii) 1/(1+sintheta)+1/(1-sintheta)=2sec^2theta

Simplify: (1+tan^(2)theta)(1-sintheta)(1+sintheta)

Prove the following trigonometric identities : (1+cot^2theta)(1-costheta)(1+costheta)=1 (ii) tan^2theta-1/(cos^2theta)=-1

Prove the following trigonometric identities: (i) (1-sin^2theta)sec^2theta=1 (ii) cos^2theta(1+tan^2theta)=1

What is the value of (1+tan^2theta)(1-sintheta)(1+s in\ theta) ?

Prove the following identities: (i) costhetasin(90^o-theta)+sinthetacos(90^o-theta)=1 (ii) (sin(90^o-theta))sintheta/(tantheta)-1=-sin^2theta (iii) (sin(90^o-theta)cos(90^o-theta))/(tantheta)=1-sin^2theta

Prove the identities : (1+tan^2 theta) (1-sin theta) (1+sin theta) =1

Prove the trigonometric identities: (1-sintheta)/(1+sintheta)=(sectheta-tantheta)^2

Prove the following identities: ((1+sintheta)^2+(1-sintheta)^2)/(cos^2theta)=2((1+sin^2theta)/(1-sin^2theta))