Home
Class 11
MATHS
If 0ltalphaltpi/2 and cos^(6)alpha+sin^(...

If `0ltalphaltpi/2 and cos^(6)alpha+sin^(6)alpha+Ksin^(2)2alpha=1`. Then find the value of K.

Text Solution

Verified by Experts

The correct Answer is:
`3/4`
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise EXERCISE-1 |35 Videos

  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise EXERCISE-II|52 Videos

  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise EXERCISE 3.1 ( LONG ANSWER QUESTION )|9 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

cos^(4)alpha+sin^(4)alpha-6sin^(2)alpha cos^(2)alpha=

If sin alpha+ cos alpha= m then sin^(6)( alpha)+ cos^(6) (alpha)=

If pi lt alpha lt 2pi then (1)/(Sin alpha - sqrt(cot^(2)alpha -cos^(2) alpha))=

If alpha , beta are complementry angles such that bsin alpha = a , the find the value of (sin alpha cos beta - cos alpha sin beta) .

If | cos theta{ sin theta + sqrt( sin^(2) theta + sin^(2) alpha)}|le k , then the value of k is

( cos 2 alpha)/( cos^(4) alpha - sin^(4) alpha ) -(cos^(4) alpha + sin^(4) alpha )/(2-sin^(2) 2alpha ) =

S.T tan alpha =(sin 2 alpha )/(1+cos 2 alpha ) . Hence find the value of tan 15^(@) and tan 22 1//2^(@)

sin 2 alpha - cos 2 alpha tan alpha =