Home
Class 12
MATHS
If 0^(@) < theta < 90^(@) "and" cos thet...

`If 0^(@) < theta < 90^(@) "and" cos theta + sin theta = sqrt2,"find the value of" cos 3 theta.`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|12 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Multiple Correct Answers Type|5 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Very Short Answer type Questions|23 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 A^(-1)=[[1,-1, 2],[0, 3,1],[ 0 ,0,-1/3]] , then |A|=-1 b. adj A=[[-1, 1 ,-2],[ 0,-3,-1],[ 0, 0, 1/3]] c. A=[[1, 1/3, 7 ],[0, 1/3, 1],[0 ,0,-3]] d. A =[[1,-1/3,-7],[ 0,-3, 0],[ 0, 0, 1]]

If f(0) = 0 ,f'(0) = 2 , then the value differentiable at x = 0 of function y = f[f{f(x)}] is _

Let A be a 3xx3 matric such that A . [(1,2,3),(0,2,3),(0,1,1)]=[(0,0,1),(1,0,0),(0,1,0)] , then find A^(-1) .

If A = [[3,1],[-1,2]],I= [[1,0],[0,1]] and O = [[0,0],[0,0]] show that A^2-5A+7I=0 . Hence find A^(-1) .

If [1 0 0 0 1 0 0 0 1][x y z]=[1-1 0] , find x ,\ y\ a n d\ z .

The straight line a x+b y+c=0 , where a b c!=0, will pass through the first quadrant if (a) a c >0,b c >0 (b) ac >0 or b c 0 or a c >0 (d) a c<0 or b c<0

The value of (0*243)^(0*2)xx(10)^(0*6) is

The points (-a , -b) , ( a^(2) , ab) , (a , b) , ( 0 ,0) ,a ne 0 , b ne 0 are always

At 25^(@)C,DeltaH_(f)^(0)= 0 for graphite, but for diamond DeltaH_(f)^(0)ne0 . Why?

If A =[{:(2,0,0),(0,3,0),(0,0,5):}] , prove that, A^(2)=[{:(2^(2),0,0),(0,3^(2),0),(0,0,5^(2)):}] , hence by induction method show that, A^(n)=[{:(2^(n),0,0),(0,3^(n),0),(0,0,5^(n)):}]

CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-Short Answer Type Questions
  1. Simplify: tan(pi/4 + theta) tan ((3pi)/4 + theta)

    Text Solution

    |

  2. Simplify: sin (B + C) sin (B - C) + sin (C + A) sin (C - A) + sin(A ...

    Text Solution

    |

  3. Find the expansion: sin (A - B + C)

    Text Solution

    |

  4. Find the expansion: tan (A + B - C)

    Text Solution

    |

  5. If sin alpha sin beta - cos alpha cos beta + 1 = 0,"show that", sin (a...

    Text Solution

    |

  6. If A + B = 45^(@), "show that",(1 + tan A) (1 + tan B) = 2 , "hence fi...

    Text Solution

    |

  7. If A + B + C = pi " and " cos A = cos B cos C, "show that" tan A = t...

    Text Solution

    |

  8. If A + B + C = pi " and " cos A = cos B cos C, "show that" 2 cot B c...

    Text Solution

    |

  9. An angle theta is divided into two parts alpha " and " beta such that ...

    Text Solution

    |

  10. If tan theta = (Q sin alpha)/(P + Q cos alpha), "prove that", tan (alp...

    Text Solution

    |

  11. If sin (alpha + beta) = n sin (alpha - beta) " and " n ne -1," prove t...

    Text Solution

    |

  12. If cot alpha cot beta = 3,"show that", (cos (alpha - beta))/(cos (alph...

    Text Solution

    |

  13. Find the value of (sin (alpha + beta))/(sin (alpha - beta)), "given th...

    Text Solution

    |

  14. If 0^(@) < theta < 90^(@) "and" cos theta + sin theta = sqrt2,"find th...

    Text Solution

    |

  15. If tan alpha = (x sin beta)/(1-x cos beta) " and " tan beta = (y sin a...

    Text Solution

    |

  16. If tan theta + tan phi = x "and" cot theta + cot phi = y, "prove that ...

    Text Solution

    |

  17. If tan theta = (2x - K)/(K sqrt3) " and " tan varphi = (xsqrt3)/(2 K-x...

    Text Solution

    |

  18. If cos (theta - alpha) = p " and " sin(theta + beta) = q," show that "...

    Text Solution

    |

  19. Eliminate theta " and " phi sin theta + sin phi = a, cos theta + co...

    Text Solution

    |

  20. Eliminate theta " and " phi tan theta + tan phi = x, cot theta + co...

    Text Solution

    |