Home
Class 10
MATHS
cos^4A-sin^4A is equal to (a)2cos^2A+1 ...

`cos^4A-sin^4A` is equal to
(a)`2cos^2A+1`
(b) `2cos^2A-1`
(c) `2sin^2A-1`
(d) `2sin^2A+1`

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|366 Videos

  • TRIGONOMETRIC RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|249 Videos

Similar Questions

Explore conceptually related problems

The value of the definite integral int_2^4(x(3-x)(4+x)(6-x)(10-x)+sinx)dx equal (a) cos2+cos4 (b) cos2-cos4 (c) sin2+sin4 (d) sin2-sin4

The value of intsqrt(1+secx)dx is equal to (A) 2sin^-1(sqrt(2)sin(x/2))+c (B) 2cos^-1(sqrt(2)sin(x/2))+c (C) 2sin^-1(sqrt(2)cos(x/2))+c (D) none of these

The values of cos^2 73^0+cos^2 47^0-sin^2 43^0+sin^2 107^0 is equal to: (b) 1/2 (c) (sqrt(3))/2 (d) sin^2 73^@+cos^4 73^@

If (cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1 then prove that (cos^4B)/(cos^2A)+(sin^4B)/(sin^2A)=1

cos^6A-sin^6A=cos2A(1-1/4sin^2 2A)

If cos^(-1)x-cos^(-1)y/2=alpha,t h e n4x^2-4x ycosalpha+y^2 is equal to 4 (b) 2sin^2alpha (c) -4sin^2alpha (d) 4sin^2alpha

If A = 30^(@) , show that : (i) (1 + sin 2A + cos 2A)/(sin A + cos A) = 2 cos A (ii) (cos^(3)A - cos 3A)/(cos A) + (sin^(3)A + sin 3A)/(sin A) = 3

Prove that : cos^(4) A - sin^(4) A = 2 cos^(2) A - 1

("lim")_(xvecoo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) 0 (b) 1 (c) 1/3 (d) 1/2

If cosA+cos^2A=1 , then sin^2A+sin^4A=

RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. The value of sqrt((1+costheta)/(1-costheta)) is (a)cottheta-cos e c...

    Text Solution

    |

  2. sec^4 A− sec^ 2 A is equal to

    Text Solution

    |

  3. cos^4A-sin^4A is equal to (a)2cos^2A+1 (b) 2cos^2A-1 (c) 2sin^2A-1...

    Text Solution

    |

  4. (sintheta)/(1+costheta) is equal to (a)(1+costheta)/(sintheta) (b) (...

    Text Solution

    |

  5. (sintheta)/(1-cottheta)+(costheta)/(1-tantheta) is equal to (a) 0 (b) ...

    Text Solution

    |

  6. The value of (1+cottheta-cos e c\ theta)(1+tantheta+sectheta) is (a...

    Text Solution

    |

  7. (tantheta)/(sectheta-1)+(tantheta)/(sectheta+1) is equal to (a)2tanth...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta) is equal to (a)0 (...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |