Home
Class 12
MATHS
If tan theta = (2x - K)/(K sqrt3) " and ...

`If tan theta = (2x - K)/(K sqrt3) " and " tan varphi = (xsqrt3)/(2 K-x), "then show that" |varphi - theta| = 30^(@).`

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

tan theta + sec theta = sqrt(3)

If phi = tan^-1 (xsqrt3)/(2k-x) and theta (2x-k)/(ksqrt3) , then show that one value of (phi - theta) is 30^@

If tan theta= sqrt((a-b)/(a+b))"tan"(A)/(2) and cos varphi =(b+ a cos A)/(a+ b cosA) , show that varphi = 2 theta .

If phi="tan"^(-1)(xsqrt(3))/(2k-x) and theta="tan"^(-1)(2x-k)/(k sqrt(3)) , then show that one value of (phi-theta) is 30^(@) .

If " " tan theta = 1/7 " and " tan phi = 1/3 " show that", cos 2 theta = sin 4phi

"If" (n tan theta)/(cos^(2) (alpha - theta))= (m tan (alpha - theta))/(cos^(2) theta) "then show that" tan ( alpha - 2 theta) = (n-m)/(n+m) tan alpha

"If" (sin ( theta + varphi))/(cos ( theta - varphi))= (1-x)/(1+x), "show that" tan( pi/4 - theta)tan( pi/4 - varphi) = x

if tan (theta/2)=sqrt((1-e)/(1+e)) tan (varphi/2) ,then prove that cos varphi=(costheta-e)/(I-ecostheta)

If phi(x)=(1-x)/(1+x) , show that, phi(cos2 theta)=tan ^2theta.

If tan theta =(3)/(4) , then show that sqrt((1-sin theta)/(1+sintheta))=(1)/(2) .

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

    |