Home
Class 10
MATHS
If cosA+cos^2A=1 , then sin^2A+sin^4A= ...

If `cosA+cos^2A=1` , then `sin^2A+sin^4A=` (a)`-1` (b) `0` (c) `1` (d) None of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    RD SHARMA|Exercise All Questions|361 Videos
  • TRIGONOMETRIC RATIOS

    RD SHARMA|Exercise All Questions|249 Videos

Similar Questions

Explore conceptually related problems

If cosA+cos^(2)A=1 , then prove that sin^(2)A+sin^(4)A=1 .

If sin x+sin y=sqrt(3)(cos y-cos x), then sin3x+sin3y=(a)2sin3x( b) 0(c)1(d) none of these

If sin theta+sin^(2)theta=1, then cos^(2)theta+cos^(4)theta=-1(b)1(c)0(d) None of these

If cosA + cos^(2)A =1 , then what is 2(sin^(2)A + sin^(4)A) is equal to?

If cos theta + cos^2 theta = 1, then value of sin^2 theta + sin^4 theta is (a) -1 (c) 0 (c) 1 (d) 2

sin^2theta+cos^2theta= (a) 0 (b) -1 (c) 1 (d) 2

If A+B+C=0, then the value of sin^(2)A+cos C(cos A cos B-cos C)+cos B(cos A cos C-cos B) is equal to: -1 (b) 0(c)1 (d) none of these

If y=tan^(-1)((sin x+cos x)/(cos x-sin x)), then (dy)/(dx) is equal to (1)/(2)(b)0(c)1(d) none of these

If alpha is any real nubmer then: (sin^4alpha+sin^2alpha.cos^2alpha+cos^2alpha)/(cos^4alpha+sin^2alpha.cos^2alpha+sin^2alpha)=.... (a) 1 (b)2 (c) 3 (d) none of these

If sin^(-1)x-cos^(-1)x=pi/6 , then x= 1/2 (b) (sqrt(3))/2 (c) -1/2 (d) none of these

RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. The value of (1+cottheta-cos e c\ theta)(1+tantheta+sectheta) is (a...

    Text Solution

    |

  2. (tantheta)/(sectheta-1)+(tantheta)/(sectheta+1) is equal to 2tanthet...

    Text Solution

    |

  3. (cos e c\ theta-sintheta)(sectheta-costheta)(tantheta+cottheta) is equ...

    Text Solution

    |

  4. If x=acostheta and y=bsintheta , then b^2x^2+a^2y^2= (a)a^2b^2 (b) a ...

    Text Solution

    |

  5. If x=asectheta and y=btantheta , then b^2x^2-a^2y^2= (a)a b (b) ...

    Text Solution

    |

  6. (cottheta)/(cottheta-cot3theta) + tantheta/(tantheta-tan3theta) is equ...

    Text Solution

    |

  7. 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta) is equal to (a)0 (...

    Text Solution

    |

  8. If acostheta+bsintheta=4 and asintheta-bcostheta=3 , then a^2+b^2 = (a...

    Text Solution

    |

  9. If acottheta+b"c o s e c"theta=p and bcottheta+a"c o s e c"theta=q , t...

    Text Solution

    |

  10. The value of sin^2 29o+sin^2 61o is (a) 1 (b) 0 (c) 2sin^2 29o (d) ...

    Text Solution

    |

  11. If x=rsinthetacosvarphi , y=rsinthetasinvarphi and z=rcostheta , then ...

    Text Solution

    |

  12. If sintheta+sin^2theta=1 , then cos^2theta+cos^4theta= (a)-1 (b) 1 (c...

    Text Solution

    |

  13. If acostheta+bsintheta=m and asintheta-bcostheta=n , then a^2+b^2= (a...

    Text Solution

    |

  14. If cosA+cos^2A=1 , then sin^2A+sin^4A= (a)-1 (b) 0 (c) 1 (d) None of ...

    Text Solution

    |

  15. If x=asecthetacosvarphi , y=bsecthetasinvarphi and z=ctantheta , then ...

    Text Solution

    |

  16. If acostheta-bsintheta=c , then asintheta+bcostheta= (a)+-sqrt(a^2+b^...

    Text Solution

    |

  17. 9sec^2A-9tan^2A is equal to (a) 1 (b) 9 (c) 8 (d) 0

    Text Solution

    |

  18. (1+tanθ+secθ)( 1+cotθ−cosec θ )=   (a) 0               (b) 2        ...

    Text Solution

    |

  19. ( secA+tanA )( 1−sinA )= (a)secA (b) sinA (c) cosec A (d...

    Text Solution

    |

  20. (1+tan^2A)/(1+cot^2A) is equal to sec^2A (b) -1 (c) cot^2A (d) tan^2A

    Text Solution

    |