Home
Class 12
MATHS
Prove that, sin^(2) (pi/8 + theta/2) -...

Prove that,
`sin^(2) (pi/8 + theta/2) - sin^(2)(pi/8 - theta/2) = 1/sqrt2 sin 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

Find the value of cos^(2) (pi/8 - theta/2) - sin^(2) (pi/8 + theta/2).

Prove that 4 sin theta sin(pi/3 + theta) sin (pi/3-theta) = sin 3 theta

Prove that "sin"((2pi)/3+theta)-"sin"((2pi)/3-theta) + sintheta=0

Prove that sin^2(pi/8+A/2)-sin^2(pi/8-A/2)=1/sqrt2sinA

Prove that, (1 + sin 2 theta - cos 2 theta)/(sin theta + cos theta)= 2 sin theta

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

Prove that 2sin(pi/8)=sqrt(2-sqrt2)

Find the sum of n terms: sin theta + sin(pi + theta) + sin (2pi + theta) + sin(3pi + theta)+......

Prove that the value of (sin^(3) (2pi - theta))/(cos^2 ((3pi)/2 + theta)) cdot (cos^3(2pi - theta))/(sin^3(2pi + theta)) cdot (tan(pi - theta))/("cosec"^2(pi - theta)) cdot ("sec"^2(pi + theta))/(sin theta) . Is independent of theta .

Prove that : (1+ sin theta - cos theta) / (1+ sin theta + cos theta ) = tan (theta/2)

CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-Short Answer Type Questions
  1. Prove that, sin^(2) alpha + sin^(2) (120^(@) - alpha) + sin^(2) (120...

    Text Solution

    |

  2. Prove that, sin^(2) (pi/8 + theta/2) - sin^(2)(pi/8 - theta/2) = 1/s...

    Text Solution

    |

  3. Prove that, cos^(2) A + cos^(2) (A + pi/3) + cos^(2) (A - pi/3) = 3/...

    Text Solution

    |

  4. Prove that, tan 70^(@) = 2tan 50^(@) + tan 20^(@)

    Text Solution

    |

  5. Simplify: cosA sin(B - C) + cos B sin (C - A) + cosC sin(A -B)

    Text Solution

    |

  6. Simplify: 1 + (sin(A - B))/(cos A cosB) + (sin (B - C))/(cos B cos C...

    Text Solution

    |

  7. Simplify: tan(pi/4 + theta) tan ((3pi)/4 + theta)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |