Home
Class 12
MATHS
If cos^(2) alpha - sin alpha = 1/4, then...

If `cos^(2) alpha - sin alpha = 1/4`, then the value of `a (0 le alpha le 360^@)` will be-

A

`30^(@)`

B

`120^(@)`

C

`150^(@)`

D

`105^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - INTEGER ANSWERS TYPE|5 Videos
  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - MATRIX MATCH TYPE|2 Videos
  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise EXERCISE - LONG ANSWER TYPE QUESTIONS (5 marks)|11 Videos
  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise sample questions for competive examination|20 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

If cos^2alpha=sin^3alpha then the value of tan^6alpha-tan^2alpha will be

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

Knowledge Check

  • 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
  • If sin(3alpha-beta)=1 and cos(2alpha+beta)=1/2 , then the values of alpha and beta will be respectively :

    A
    `60^@, 30^@`
    B
    `30^@, 0^@`
    C
    `60^@, 0^@`
    D
    `30^@, 45^@`
  • 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`
  • Similar Questions

    Explore conceptually related problems

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

    If sin alpha + sin beta = p "and" cos alpha + cos beta = q "then the value of " "tan" (alpha-beta)/2 will be-

    Let alpha, beta be such that pi lt alpha lt beta lt 3pi, if sin alpha + sin beta =- (21)/(65) and cos alpha + cos beta =(27)/(65), then the value of cos ""(alpha - beta)/(2) is-

    If sin alpha + sin beta + sin gamma =3, then the value of (cos alpha + cos beta+ cos gamma) is-

    If A=[(cos alpha, -sin alpha),(sin alpha, cos alpha)], and A+A'=I , then the value of alpha is