Home
Class 11
MATHS
Prove that : (sintheta)/(1+costheta)+(1+...

Prove that : `(sintheta)/(1+costheta)+(1+costheta)/(sintheta)=2"cosec"theta`

Text Solution

AI Generated Solution

To prove the identity \[ \frac{\sin \theta}{1 + \cos \theta} + \frac{1 + \cos \theta}{\sin \theta} = 2 \csc \theta, \] we will start with the left-hand side (LHS) and manipulate it step by step. ...
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3A|12 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3B|24 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos

Similar Questions

Explore conceptually related problems

(sintheta)/(1+costheta)+(1+costheta)/(sintheta)=2cosectheta

Prove that : (1+sintheta)/(costheta)+(costheta)/(1+sintheta)=2sectheta

Prove that (1-sintheta+costheta)^2=2(1+costheta)(1-sintheta)

Prove that : (1-costheta)/(sintheta)+(sintheta)/(1-costheta)=2"cosec "theta

Prove that : (sintheta-costheta)/(sintheta+costheta)+(sintheta+costheta)/(sintheta-costheta)=(2)/(2sin^(2)theta-1)

Prove that : (sintheta)/(sectheta+tantheta-1)+(costheta)/("cosec"theta+cottheta-1)=1

Prove the following identities: (costheta)/(1-sintheta)+(costheta)/(1+sintheta)=2sectheta

Prove the following identities: (costheta)/(1-sintheta)+(costheta)/(1+sintheta)=2sectheta

Prove that : (cos^(2)theta)/(1-tantheta)+(sin^(3)theta)/(sintheta-costheta)=1+sinthetacostheta

Prove that: (1+sintheta-costheta)/(1+sintheta+costheta)=tantheta/2