Home
Class 10
MATHS
(1-Sin^(2)theta)(sec^(2)theta)=………… ....

`(1-Sin^(2)theta)(sec^(2)theta)=`………… .

A

0

B

1

C

`tan^(2)theta`

D

`cos^(2)theta`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRY

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (II)|18 Videos
  • TRIGONOMETRY

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (III)|17 Videos
  • TRIGONOMETRY

    FULL MARKS|Exercise UNIT EXERCISE|9 Videos
  • STATISTICS AND PROBABILITY

    FULL MARKS|Exercise Additional question solved|65 Videos

Similar Questions

Explore conceptually related problems

Prove that (1+(1)/(tan^(2) theta ))(1+(1)/(cot^(2) theta ))=sec^(2) theta . "cosec"^(2) theta

Prove: sin^(8)theta-cos^(8)theta=(sin^(2)theta-cos^(2)theta)(1-2sin^(2)thetacos^(2)theta)

Knowledge Check

  • (1+tan^(2)theta)sin^(2)theta = ……… .

    A
    `sin^(2)theta`
    B
    `cos^(2)theta`
    C
    `tan^(2)theta`
    D
    `cot^(2)theta`
  • (1)/(sin^(2)theta)-(cos^(2)theta)/(sin^(2) theta) =___.

    A
    `1`
    B
    `tan^(2)theta`
    C
    `1-tan^(2)theta`
    D
    `1-sin^(2)theta`
  • The value of sin^(2)theta+(1)/(1+tan^(2)theta) is equal to

    A
    `tan^(2) theta`
    B
    `1`
    C
    `cot^(2) theta`
    D
    `0`
  • Similar Questions

    Explore conceptually related problems

    Prove that following identities sec^(6)theta-tan^(6)theta-3tan^(2)thetasec^(2)theta=1

    Prove that following identities sec^(4)theta(1-sin^(4)theta)-2tan^(2)theta=1

    Prove that |(sec^(2)theta,tan^(2)theta,1),(tan^(2)theta,sec^(2)theta,-1),(38,38,2)|=0.

    Evaluate the following (sec^(2) theta -1 ) (cosec ^(2) theta -1)

    Simplify (cos(90^@+theta)sec (-theta)tan(180^(@)-theta))/(sec(360^(@)-theta)sin(180^(@)+theta)cot (90^(@)+theta))