Home
Class 10
MATHS
Check whether the following equations ar...

Check whether the following equations are identities or not ?
(i) `(costheta)/(1-sintheta)=(1+sintheta)/(costheta)`
(ii) `(1)/(1+costheta)+(1)/(1-costheta)=2"cosec"^(2)theta`
(iii)`(sin^(2)theta)/(1-sin^(2)theta)=(1)/(3)`
(iv) `sin^(2)theta+cos^(2)theta=1`
(v) `(1+costheta-sin^(2)theta)/(sintheta+sinthetacostheta)=cottheta`
(vi) `1+(tan^(2)theta)/(1+sectheta)=sectheta`

Text Solution

Verified by Experts

The correct Answer is:
(i),(ii),(iv),(v),(vi) are identities
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN|Exercise Exercise 8 E|16 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN|Exercise Revision Exercise Very Short Answer Questions|38 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN|Exercise Exercise 8 C|42 Videos

  • CONSTRUCTIONS

    NAGEEN PRAKASHAN|Exercise PROBLEMS FROM NCERT/ EXEMPLAR|10 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|8 Videos

Similar Questions

Explore conceptually related problems

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

(sintheta+sin2theta)/(1+costheta+cos2theta) =

(sintheta+sin2theta)/(1+costheta+cos2theta)=?

(sin3theta-cos3theta)/(sintheta+costheta)+1 =

(sin^(3)theta+cos^(3)theta)/(sintheta+costheta)+(sin^(3)theta-cos^(3)theta)/(sintheta-costheta)=

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

(sin^(2)theta)/(costheta(1+costheta))+(1+costheta)/(costheta)=?

(sintheta)/(1+costheta) + (1+costheta)/(sintheta) = 2 cosec theta

("sin"theta)/(1-costheta)+("tan"theta)/(1+costheta)=secthetacosectheta+cottheta

If (cos^(2)theta)/(1-tantheta)+(sin^(3)theta)/(sintheta-costheta)=K+sinthetacostheta , then K = ?