Home
Class 11
MATHS
Simplify i) (sin 2theta)/(1+cos 2 theta...

Simplify i) `(sin 2theta)/(1+cos 2 theta)`
ii) `(3 cos theta+cos3theta)/(3sintheta-sin3theta)`
iii) `(sintheta+sin2 theta)/(1+costheta+cos 2theta)`

Text Solution

Verified by Experts

The correct Answer is:
i) `tantheta`
ii) `cot^(3)theta`
iii)`tantheta`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise EXERCISE 3.1 ( SHORT ANSWER QUESTION )|18 Videos
  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise EXERCISE 3.1 ( LONG ANSWER QUESTION )|9 Videos
  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLE |1 Videos
  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - II) (LEVEL - II) (Linked Comprehension Type Questions)|5 Videos
  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos

Similar Questions

Explore conceptually related problems

Prove that ((cos theta-cos 3 theta)(sin 8 theta +sin 2 theta))/((sin 5 theta-sin theta)(cos 4 theta-cos 6 theta))=1

(3 cos theta + cos 3 theta )/( 3 sin theta - sin 3 theta ) =

Knowledge Check

  • (3costheta+cos3theta)/(3sintheta-sin3theta)=

    A
    `cot^(2)theta`
    B
    `cot^(4)theta`
    C
    `cot^(3)theta`
    D
    `3cot theta`
  • (sintheta+sin2theta)/(1+costheta+cos2theta)

    A
    `sintheta`
    B
    `costheta`
    C
    `tantheta`
    D
    `cottheta`
  • (sin3theta)/(1+2cos2theta)=

    A
    `costheta`
    B
    `sintheta`
    C
    `-costheta`
    D
    `-sintheta`
  • Similar Questions

    Explore conceptually related problems

    (sin^(3)theta+sin3theta)/(cos^(3)theta-cos3theta)

    4 sin 5 theta cos 3 theta sin 2 theta

    (cos theta + sin theta )/( cos theta - sin theta )-(cos theta - sin theta )/( cos theta + sin theta ) =

    ( sin 3 theta )/( sin theta ) -(cos 3 theta )/( cos theta )=

    ((cos theta - cos 3 theta ) ( sin 8 theta + sin 2 theta ))/(( sin 5 theta - sin theta )( cos 4 theta - cos 6 theta ))=