Home
Class 11
MATHS
Find general solution of the trigonometr...

Find general solution of the trigonometric equation `sin5theta =`1

Text Solution

AI Generated Solution

To find the general solution of the trigonometric equation \( \sin(5\theta) = 1 \), we can follow these steps: ### Step 1: Identify the angle for which sine equals 1 We know that the sine function equals 1 at specific angles. The primary angle where \( \sin(x) = 1 \) is: \[ x = \frac{\pi}{2} + 2k\pi \quad \text{for any integer } k \] ...
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

Find the general solution of the trigonometric equation : sec 2theta = -2

Find the general solution of the trigonometric equation : sin 3x = 1/sqrt(2)

Find the general solution of the trigonometric equation : cot^2 5theta = 0

Find the general solution of the trigonometric equation : sin^2 2x = 0

Find the general solution of the trigonometric equation : sin x = - sqrt(3)/2

Find the general solution of the trigonometric equation : tan 5x =0

Find the general solution of the trigonometric equation: sin 2x - sin 4x + sin 6x = 0

Find the general solution of the trigonometric equation : cos x = 1/2

Find the general solution of the trigonometric equation : cos 5x = -1/sqrt(2)

Find the pricnipal solution of the trigonometric equation: sin x = 1/2

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES-All Questions
  1. Prove that: 15sin(5pi)/(12)+15cos(5pi)/(12)-20sin^3(5pi)/(12)-20cos(5p...

    Text Solution

    |

  2. Prove that: sin(pi/5)sin( (2pi)/5)sin(3pi/5)sin(4pi/5)=5/(16)

    Text Solution

    |

  3. Find general solution of the trigonometric equation sin5theta =1

    Text Solution

    |

  4. Prove that: sin^4(pi/8)+sin^4((3pi)/8)+sin^4((5pi)/8)+sin^4((7pi)/8)=...

    Text Solution

    |

  5. Prove that: cos^4pi/8+cos^4(3pi)/8+cos^4(5pi)/8+cos^4(7pi)/8=3/2

    Text Solution

    |

  6. Prove that:tan6^0tan42^0tan66^0tan78^0=1.

    Text Solution

    |

  7. If tanalpha=(1-cosbeta)/(sinbeta),t h e n (a)tan3alpha=tan2beta (b) ...

    Text Solution

    |

  8. Prove that: sin36^0=(sqrt(10-2sqrt(5)))/4 .

    Text Solution

    |

  9. The value of (cos3theta)/(2cos2theta-1) is equal to (a) costheta (b) ...

    Text Solution

    |

  10. The value of cos^4theta+sin^4theta-6cos^2theta is (a) cos2theta (b) s...

    Text Solution

    |

  11. Prove that: sin(pi/10)+sin((13pi)/10)=-1/2

    Text Solution

    |

  12. If tan(pi//4+theta)+""tan(pi//4-theta)=lambdasec2theta,t h e nlambda= ...

    Text Solution

    |

  13. Prove that: (1+cos4x)/(cot x-tanx)=1/2sin4x

    Text Solution

    |

  14. Prove that: (cos7x-cos8x)/(1+2cos5x)=cos2x-cos3x

    Text Solution

    |

  15. To prove (cos5x+cos4x)/(1-2cos3x)=-cos2x-cosx

    Text Solution

    |

  16. If tantheta= t, then tan2theta+sec2theta is equal to (a) (1+t)...

    Text Solution

    |

  17. Prove that: "cot"pi/(24)=sqrt(2)+sqrt(3)+sqrt(4)+sqrt(6)

    Text Solution

    |

  18. (sec8A-1)/(sec4A-1) is equal to (A) (tan2A)/(tan8A) (B) (tan8A)/(t...

    Text Solution

    |

  19. If A=2sin^2theta-cos2theta,t h e nA lies in the interval (a) [-1,3] (...

    Text Solution

    |

  20. Prove that (tan3x)/(tanx) never lies between 1/3a n d3 .

    Text Solution

    |