Home
Class 12
MATHS
If in the interval [0,pi] the value of 5...

If in the interval `[0,pi]` the value of `5 sin^(2) alpha + 3 cos^(2) alpha` be equal to 4, then what will be the value of `sin 2alpha`

A

0

B

`-1`

C

2

D

1

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Integer Answer Type|5 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|30 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

Find the value of sin^6 alpha+ cos^6 alpha+ 2sin^2 alpha cos^2 alpha .

Given sin alpha+ cos alpha+tan alpha+ cot alpha+ sec alpha=7 , find the value of sin 2 alpha .

Knowledge Check

  • If alpha in [pi/2,pi] , then the value of sqrt(1+sin alpha)- sqrt(1-sinalpha) is equal to:

    A
    `2 "cos" alpha/2`
    B
    `2 "sin" alpha/2`
    C
    2
    D
    none of these

  • If 0 lt alpha lt (pi)/(2) and sin alpha + cos alpha = sqrt2, then the value of cos 3 alpha is-

    A
    `(1)/(sqrt2)`
    B
    `-(1)/(sqrt2)`
    C
    `1/2`
    D
    `-1/2`

  • If cos 9alpha = sin alpha and 9 alpha lt 90^@ , then the value of tan 5 alpha is

    A
    `1/sqrt3`
    B
    `sqrt3`
    C
    1
    D
    0

    • Similar Questions

    Explore conceptually related problems

    If x=sin^2alpha+cosec^2alpha ,then the value of x is

    Calculate the value of (sin^(6)alpha +cos^(6) alpha + 3sin^(2) alpha cos^(2) alpha).

    If sin ( alpha + beta ) =(4)/(5) and sin (alpha - beta ) =(5)/(13), find the value of tan 2 alpha

    If sin(alpha + beta) = 4/5 and sin (alpha - beta)= 5/13 , find the value of tan 2 alpha .

    If 0lt betalt alpha lt(pi/4),cos(alpha+beta)=3/5 and cos(alpha-beta)=4/5 then find the avlue of sin 2 alpha

    Home
    Profile