Home
Class 12
MATHS
The value of sin(45^(@)+theta) - cos(45^...

The value of `sin(45^(@)+theta) - cos(45^(@)-theta)` is

A

`2 cos theta`

B

`2 sin theta`

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (TRUE AND FALSE)|6 Videos

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (FILL IN THE BLANKS)|6 Videos

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (COMPREHENSION)|4 Videos

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

Find the value of sin(45^(@)+theta)-cos(45^(@)-theta)

If theta lies in the first quardrant and costheta=(8)/( 17 ) , then find the value of cos(30^(@)+theta)+cos(45^(@)-theta)+cos(120^(@)-theta) .

Choose the correct answer in each of the following questions: sin(45^(@)+theta)-cos(45^(@)-theta)=?

If (sin theta + cos theta)/(sin theta - cos theta)=3 , then the value of sin^(4)theta - cos^(4)theta is:

Find the value of (sin45^(@) + cos 45^(@))

What is the value of [2 sin (45 +theta) sin (45 -theta)]//cos 2 theta ? [2 sin (45 +theta) sin (45 -theta)]//cos 2 theta का मान क्या है?

cot(45+theta)cot(45-theta)=

Evaluate : (cos^(2)(45^(@) + theta)+ cos^(2) (45^(@) -theta))/(tan(60^(@) + theta) xx tan(30^(@) - theta))+(cot30^(@) + sin 90^(@))xx (tan60^(@) -sec0^(@))

The value of (sin^3 theta + cos^3 theta)/(sin theta+ costheta)+((cos^3 theta - sin^3 theta))/(cos theta - sin theta) is

The value of (2(sin2 theta+2cos^(2)theta-1))/(cos theta-sin theta-cos3 theta+sin3 theta)=

ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-MISCELLANEOUS EXERCISE (SELF ASSESSMENT TEST)
  1. tan54^(@) can be expressed as

    Text Solution

    |

  2. If 4 n alpha = pi then the value of tan alpha tan 2 alpha tan 3 alpha ...

    Text Solution

    |

  3. The value of sin(45^(@)+theta) - cos(45^(@)-theta) is

    Text Solution

    |

  4. If sintheta=(-4)/(5) and theta lies in third quadrant, then the value...

    Text Solution

    |

  5. If tan theta = 3 and theta lies in thrid quadrant, then the value of s...

    Text Solution

    |

  6. If sin alpha = 12//13 , ( 0 lt alpha lt pi //2) and cos beta = - ( 3)...

    Text Solution

    |

  7. If theta and phi are angles in the first quadrant such that tan theta ...

    Text Solution

    |

  8. The value of cos ( pi //5) cos ( 2pi //5) cos ( 4pi //5) cos ( 8pi //5...

    Text Solution

    |

  9. sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) =(3)/(16)

    Text Solution

    |

  10. The value of sqrt3 cosec20^@-sec20^@ is equal to:

    Text Solution

    |

  11. Givent that pi/2,alphaltpi then the expression sqrt((1-sinalpha)/(1+si...

    Text Solution

    |

  12. If tan alpha =(b)/(a), a gt b gt 0 and " if " 0 lt alpha lt (pi)/(4), ...

    Text Solution

    |

  13. If cos(A-B)=3/5and tan A tanB=2, then

    Text Solution

    |

  14. If A +B = ( pi )/( 3) and cos A + cos B =1, then which of the followin...

    Text Solution

    |

  15. If Sigma n^2 = lambda Sigma n, then sin^(-1) "" ((9 lambda^2 - 4 n^2)/...

    Text Solution

    |

  16. If A = 580^(@) then

    Text Solution

    |

  17. If 2 cos ( A//2) = sqrt(( 1+ sin A )) - sqrt(( 1- sin A )) , then

    Text Solution

    |

  18. If cos(alpha+beta)=4/5, sin(alpha-beta)=5/13and alpha, beta between 0 ...

    Text Solution

    |

  19. If a Delta PQR " if" 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1 , ...

    Text Solution

    |

  20. If (sin^4x)/2+(cos^4x)/3=1/5t h e n tan^2x=2/3 (b) (sin^8x)/8+(cos^...

    Text Solution

    |