Home
Class 14
MATHS
If cos theta + sin theta = sqrt2cos thet...

If `cos theta + sin theta = sqrt2cos theta," then " cos theta -sin theta`is

A

`-sqrt2 cos theta`

B

`-sqrt2 sin theta`

C

`sqrt2 sin theta`

D

`sqrt2 tan theta`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    ARIHANT SSC|Exercise Higher Skill Level Questions|34 Videos
  • TRIGONOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 11.1|5 Videos
  • TRIGONOMETRY

    ARIHANT SSC|Exercise EXERCISE(LEVEL - 1)|35 Videos
  • TIME, SPEED AND DISTANCE

    ARIHANT SSC|Exercise SPEED TEST (TSD)|10 Videos
  • TRUE DISCOUNT AND BANKER'S DISCOUNT

    ARIHANT SSC|Exercise FAST TRACK PRACTICE|23 Videos

Similar Questions

Explore conceptually related problems

If cos theta + sin theta = sqrt2 cos theta " then" cos theta - sin theta is equal to

If cos theta+sin theta=sqrt(2)cos theta, then prove that cos theta-sin theta=sqrt(2)sin theta

If cos theta+sin theta=sqrt(2)cos theta then show that cos theta-sin theta=sqrt(2)sin theta

If cos theta+sin theta=sqrt(2)cos theta, prove that cos theta-sin theta=sqrt(2)sin theta

If cos theta+sin theta=sqrt(2)cos theta, show that cos theta-sin theta=sqrt(2)sin theta

If cos theta-sin theta=sqrt(2)sin theta then cos theta+sin theta is equal to

If cos theta+sin theta=sqrt(2)cos theta prove that cos theta-sin theta=sqrt(2)sin theta

If cos theta+sin theta=sqrt(2)cos theta; show that cos theta-sin theta=sqrt(2)sin theta

If cos theta + sin theta =sqrt2 cos theta , then the value of (cos theta -sin theta)/(sin theta) is

If cos theta-sin theta=sqrt(2)sin theta then Prove that cos theta+sin theta=sqrt(2)cos theta

ARIHANT SSC-TRIGONOMETRY-Exercise Base Level Questions
  1. If theta be acute and tan theta + cot theta = 2, then the value of tan...

    Text Solution

    |

  2. If 0^@ lt theta lt 90^@, then all the trigonometric ratios can be obt...

    Text Solution

    |

  3. What is the value of (sin theta)/(1 +cos theta) + (1 + cos theta)/sin ...

    Text Solution

    |

  4. If sin theta cos theta = sqrt3//4,then the value of sin^4theta + cos^4...

    Text Solution

    |

  5. If 2 cot theta =3, then what is (2 cos theta -sin theta)/(2 cos theta...

    Text Solution

    |

  6. If cos theta + sin theta = sqrt2cos theta," then " cos theta -sin thet...

    Text Solution

    |

  7. If 3 sin x + 5 cos x =5, then what is the value of (3cos x - 5sin x)...

    Text Solution

    |

  8. If 0 lt x lt pi/2 and sec x = cosec y, then the value of sin (x + y) i...

    Text Solution

    |

  9. If sin 17^@ = x/y,then the value of sec 17^@ - sin 73^@ is

    Text Solution

    |

  10. यदि 2sin((pix)/(2))=x^(2)+(1)/(x^(2)) है तो (x-(1)/(x)) का मान ज्ञात ...

    Text Solution

    |

  11. समीकरण cos^(2)theta=((x+y)^(2))/(4xy) तभी संभव है?

    Text Solution

    |

  12. The value of sin^2 1^@ + sin^2 3^@ + sin^2 5^@ +…+ sin^2 87^@ + sin^2 ...

    Text Solution

    |

  13. If angle A and angle B are complementary to each other,then the value ...

    Text Solution

    |

  14. Find the value of sin^(2)5^(@)+ sin^(2)10^(@)+ sin^(2)15^(@)+* * * +si...

    Text Solution

    |

  15. If sin (3x - 20^@) = cos(3y + 20^@), then the value of (x + y) is

    Text Solution

    |

  16. If (sin theta + cos theta)/(sin theta - cos theta) = (5)/(4) , the val...

    Text Solution

    |

  17. The value of (sin 39^(@))/(cos 51^(@)) + 2 tan 11^(@) tan 31^(@) tan 4...

    Text Solution

    |

  18. If (cos^(2) theta)/(cot^(2) theta - cos^(2) theta) = 3 and 0^(@) lt th...

    Text Solution

    |

  19. The numerical value of cot 18^(@) (cot 72^(@) cos^(2) 22^(@) + (1)/...

    Text Solution

    |

  20. If theta be an acute angle and 7 sin^(2) theta + 3 cos^(2) theta = 4 ,...

    Text Solution

    |