Home
Class 10
MATHS
sqrt((1-cos^(2)theta)sec^(2)theta) [...

`sqrt((1-cos^(2)theta)sec^(2)theta)` `[therefore sin^(2)theta+cos^(2)theta=1]`
`=sqrt(sin^(2)theta.1/(cos^(2)theta))=sqrt(tan^(2)theta)=tantheta` `[therefore sectheta= 1/(costheta), tantheta=(sintheta)/(costheta)]`

A

`sec theta`

B

`tan theta`

C

`sin theta`

D

`sec^2 theta`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY AND TRIGONOMETRIC IDENTITIES

    OSWAL PUBLICATION|Exercise SELF ASSESSMENT - 2 (I. Objective Type Questions)([B] Fill in the Blanks ) |3 Videos

  • INTRODUCTION TO TRIGONOMETRY AND TRIGONOMETRIC IDENTITIES

    OSWAL PUBLICATION|Exercise SELF ASSESSMENT - 2 (I. Objective Type Questions)( [C] Very Short Answer Type Questions)|3 Videos

  • INTRODUCTION TO TRIGONOMETRY AND TRIGONOMETRIC IDENTITIES

    OSWAL PUBLICATION|Exercise SELF ASSESSMENT - 1 (iv. Long Answer Type Questions )|3 Videos

  • INTRODUCTION TO TRIGONOMETRY

    OSWAL PUBLICATION|Exercise Self - Assessment |15 Videos

  • LINES (IN TWO - DIMENSIONS)

    OSWAL PUBLICATION|Exercise BOARD CORNER (LONG ANSWER TYPE QUESTION)|2 Videos

Similar Questions

Explore conceptually related problems

sqrt((1-cos^(2)theta)sec^(2)theta)=tan theta

Prove that : sqrt((1-cos^(2)theta)sec^(2)theta)=tantheta

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

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

If : sin theta= sqrt3*costheta, "then" : 2(sin theta+costheta)-1=

(sin theta+sin2 theta)/(1+cos theta+cos2 theta)=tan theta=sin theta*sec theta

(sin^(3)theta-cos^(3)theta)/(sin theta-cos theta)-(cos theta)/(sqrt(1+cot^(2)theta))-2tan theta cot theta=-1

(1+2sin theta+sin^(2)theta)/(cos^(2)theta)=(sec theta+tan theta)/(sec theta-tan theta)

If (sin^(3)theta-cos^(3)theta)/(sin theta-cos theta)-(cos theta)/(sqrt(1+cot^(2)theta))-2 tan theta cot theta=-1 (AA theta in[0, 2pi], then

OSWAL PUBLICATION-INTRODUCTION TO TRIGONOMETRY AND TRIGONOMETRIC IDENTITIES -SELF ASSESSMENT - 2 (I. Objective Type Questions)( [A] Multiple Choice Questions: )
  1. Find the value of (sin^4theta+cos^4theta)/(1-2sin^2 thetacos ^2 theta)

    Text Solution

    |

  2. sqrt((1-cosA)/(1+cosA))=

    Text Solution

    |

  3. sqrt((1-cos^(2)theta)sec^(2)theta) [therefore sin^(2)theta+cos^(2)...

    Text Solution

    |