Home
Class 12
MATHS
Prove that (1+sin2theta)/(1-sin2theta)=(...

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

Text Solution

Verified by Experts

LHS`=(1+sin 2theta)/(1-sin 2theta)`
`=(sin^(2)theta+cos^(2)theta+2sin theta cos theta)/(sin^(2)theta+cos^(2)theta-2sin theta cos theta)`
`=((sin theta+cos theta)/(sintheta-cos theta))^(2)`
`=((1+tan theta)/(1-tan theta))^(2)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise 3.1|11 Videos
  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise 3.2|7 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos
  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Multiple Correct Answers Type|6 Videos

Similar Questions

Explore conceptually related problems

Prove that (1+sin2 theta)/(1-sin2 theta)=((1+tan theta)/(1-tan theta))^(2)

Prove that (1+sin2 theta)/(1-sin2 theta)=((1+tan theta)/(1-tan theta))^(2)

prove that :(1-sin2 theta)/(1+sin2 theta)=((1-tan theta)/(1+tan theta))^(2)

Prove that: (sin2 theta)/(1+cos2 theta)=tan theta

Prove that: (sin2 theta)/(1+cos2 theta)=tan theta

Prove that (i) (1- sin theta)/(1+ sin theta)=(sec theta - tan theta )^(2) (ii) ((1+cos theta))/((1- cos theta))= ("cosec" theta + cot theta)^(2)

Prove that (1+sin theta)/(1-sin theta)=tan^2(pi/4+theta/2)

Solve: (1-tantheta)(1+sin2theta)=(1+tantheta)

Prove that (1+sin theta)/(1-sin theta)-(1-sin theta)/(1+sin theta)=4sec theta tan theta

Prove that ((1+tan^(2)theta)sin^(2)theta)/(tan theta)=tan theta