Home
Class 12
MATHS
If tan (pi cos theta) = cot (pi sin thet...

`If tan (pi cos theta) = cot (pi sin theta),"then the value of" cos (theta - pi/4) "will be"-`

A

`1/2`

B

`1/(2 sqrt2)`

C

` -1/2`

D

`-1/(2sqrt2)`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Integer Answer Type|5 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Matrix Match Type|2 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|12 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - ASSERTION-REASON TYPE|2 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

If tan (pi cos theta)= cot (pi sin theta) , show that cos (theta-(pi)/(4))=+- (1)/(2sqrt(2))

(i) If sin(pi/2costheta) = cos(pi/2 sin theta) , show that, +- cos(theta + pi/4) =(4n+1)/sqrt(2) where n= any integer. (ii) If tan(pi cos theta) = cot(pi sin theta) , prove that, cos(theta - pi/4) = (2n+1)/(2sqrt(2)), n=0, -1,1,-2,2 ,............

Knowledge Check

  • If tan (pi cos theta) = cot (pi sin theta), then the valus of cos (theta -(pi)/(4)) are-

    A
    `pm(1)/(2sqrt2)`
    B
    `pm1/2`
    C
    `pm(1)/(sqrt2)`
    D
    `pm(1)/(4)`

  • If sin (pi cos theta)=cos (pi sin theta), then the vlaue of cos (theta pm (pi)/(4)) is equal to-

    A
    `cos ""pi/8`
    B
    `1/2 cos ""pi/8`
    C
    `cos ""pi/4`
    D
    `1/2 cos ""pi/4`

  • If 0 < 4theta < pi,"then the value of" cot theta - cot 4 theta "will be"-

    A
    6
    B
    3
    C
    4
    D
    5

    • Similar Questions

    Explore conceptually related problems

    If tan(pi/4-theta)=1/2 then find sin2theta

    If pi/2 < theta < pi "and" sin theta = 3/5 "find the value of" sin 2 theta

    If sin ( pi cos theta ) = cos (pi sin theta ), , then show that theta =+- (1)/(2) sin ^(-1)""(3)/(4)

    If sin ((pi)/(4) cot theta)= cos ((pi)/(4) tan theta), then the general value of theta is-

    If 0 lt theta lt pi/2 and sin 2 theta = cos 3 theta, then the value of sin theta is-

    Home
    Profile