Home
Class 12
MATHS
If 15 sin^(4) alpha+10 cos^(4) alpha=6, ...

If `15 sin^(4) alpha+10 cos^(4) alpha=6`, some `alpha in R`, then the value of `27 sec^(6) alpha+8 cosec^(6) alpha` is equal to

A

250

B

400

C

350

D

500

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

If alpha satisfies 15 sin^(4)alpha + 10 cos^(4)alpha=6 , then find the value of 27 sin^(8)alpha + 8 cos^(8) alpha

If 10sin^(4)alpha+15cos^(4)alpha=6, then find the value of 27cos ec^(6)alpha+8sec^(6)alpha.

Knowledge Check

  • If 15 sin^(4)alpha+10cos^(4)alpha=6 , then the value of 8 cosec^(6)alpha+27 sec^(6)alpha is

    A
    150
    B
    175
    C
    225
    D
    250

  • If sin^(2)alpha+ sin alpha=1 , then the value of cos^(4) alpha+ cos^(2) alpha is ________

    A
    0
    B
    `-1`
    C
    `1`
    D
    2

  • If 15sin^(4)alpha+10cos^(4)alpha=6 then the value of 8"cosec"^(6)alpha-27sec^(6)alpha is

    A
    0
    B
    1
    C
    `-1`
    D
    5

    • Similar Questions

    Explore conceptually related problems

    If 0 lt alpha lt pi/6 , then the value of (alpha cosec alpha ) is

    If 10sin^(4)alpha+15cos^(4)alpha=6, find the value of 27cos ec^(6)alpha+8sec^(6)alpha

    If sin alpha-cos alpha=m, then the value of sin^(6)alpha+cos^(6)alpha in terms of m is

    If cos^(2)alpha+ cos alpha=1 , then find the value of 4 sin^(2)alpha+4 sin^(4) alpha+2 .

    If (2 sin alpha)/(1 + cos alpha + sin alpha) = 3/4 , then the value of (1 + cos alpha + sinalpha)/(1 + sin alpha) is equal to

    Home
    Profile