Home
Class 10
MATHS
Evaluate the following (1+tan theta +...

Evaluate the following
` (1+tan theta +sec theta ) ( 1+cos theta -cosec theta ) `

Text Solution

Verified by Experts

The correct Answer is:
` 2`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRY

    NCERT KANNAD|Exercise OPTIONAL EXERCISE|6 Videos
  • TRIGONOMETRY

    NCERT KANNAD|Exercise Exercise -11.3|11 Videos
  • TANGENTS AND SECANTS TO A CIRCLE

    NCERT KANNAD|Exercise Try this|3 Videos

Similar Questions

Explore conceptually related problems

cos theta . Cosec theta = cot theta

(sin theta)/(cosec theta)+(cos theta)/(sec theta)=1

Knowledge Check

  • ( 1 + tan theta + sec theta ) ( 1 + cot theta - cosec theta ) =

    A
    ` 0 `
    B
    ` 1 `
    C
    ` 2 `
    D
    ` - 1 `
  • Similar Questions

    Explore conceptually related problems

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

    Given cot theta =(7)/(8) , then evaluate (i) ((1+sin theta )( 1-sin theta ))/( (1+cos theta )(1-cos theta )) " "(ii) cot^2 theta

    Show that cot theta +tan theta =sec theta cosec theta

    Prove that: sin theta (1 + tan theta) + cos theta (1+ cot theta) = sec theta + cosec theta .

    Prove that (1+cot theta - cosec theta)(1+tan theta + sec theta) =2 .

    Evaluate the following determinants: (b) |(cos theta, -sin theta),(sin theta, cos theta)| = cos theta (cos theta) - sin theta(-sin theta) = cos^(2) theta + sin^(2) theta = 1

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