Home
Class 12
MATHS
Prove: sin^2θ+cos^2θ=1...

Prove: `sin^2θ`+`cos^2θ`=1

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

Prove that, sin^(2)A cos^(4) A = 1/16 + 1/32 cos2A - 1/16 cos 4 A - 1/32 cos 6 A

Prove : int sin^(2) x cos 2x dx = 1/4 ( sin 2 x - (sin 4x)/4 - x) + c

Prove that sin^(-1) cos (sin^(-1) x) + cos^(-1) x = (pi)/(2), |x| le 1

Prove : int ( sin x - cos 2x)/(1 + sin x ) dx = - ( x+2 cos x ) + c

Prove that sin^2 30^@ + cos^2 30^@=1

Prove that, sin^(6)x + cos^(6)x = 1-3/4 sin^(2) 2x.

Prove : int (cos x - cos 2x)/(1-cosx) dx = x + 2 sin x + c

Prove : int cos x cos 2 x cos 3 x dx = 1/4 ( x+ (sin 2x)/2 + (sin 4x)/4 + (sin6x)/6 ) + c

Prove that sin18^(@)+cos18^(@)= sqrt2 cos 27^(@)

Prove that cot^2 60^@+sin^2 45^@ +sin^2 30^@+cos^2 90^@=(13)/(12)

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. h(x)=3f((x^2)/3)+f(3-x^2)AAx in (-3, 4) where f''(x)> 0 AA x in (-3,4)...

    Text Solution

    |

  2. If 0<x1<x2<x3<pi, then prove that sin((x1+x2+x3)/3)>(sinx1+sinx2+sinx3...

    Text Solution

    |

  3. Prove: sin^2θ+cos^2θ=1

    Text Solution

    |

  4. Prove that (tan^(-1) 1/e)^2+(2e)/ sqrt(e^2+1)<(tan^(-1)e)^2+2/(sqrt(e^...

    Text Solution

    |

  5. If f(x)=x^3+bx^2+cx+d and 0ltb^2ltc then in (-oo,oo)

    Text Solution

    |

  6. The function defined by f(x)=(x+2)e^(-x) is (a)decreasing for all x ...

    Text Solution

    |

  7. Find the values of x where f(x)=sin(lnx)-cos(lnx) in strictly increasi...

    Text Solution

    |

  8. Let f(x)=x^3+a x^2+b x+5sin^2x be an increasing function on the set Rd...

    Text Solution

    |

  9. Find the possible values of a such that f(x)=e^(2x)-(a+1)e^x+2x is mon...

    Text Solution

    |

  10. Prove that for any two numbers x1 and x2.(2e^(x1)+e^(x2))/3gte^((2(x1)...

    Text Solution

    |

  11. Assertion Consider the following statements in SandR S: Both sinx and...

    Text Solution

    |

  12. Let f(x)=int0^xe^t(t-1)(t-2)dt, Then f decreases in the interval

    Text Solution

    |

  13. The length of the longest interval in which the function 3sinx-4sin^3x...

    Text Solution

    |

  14. Tangent is drawn to ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costheta,sint...

    Text Solution

    |

  15. If f(x)=xe^(x(1-x)) , then f(x) is(a) increasing on [−1/2,1] (b) decr...

    Text Solution

    |

  16. Let f(x)=(1+b^2)x^2+2b x+1 and let m(b) the minimum value of f(x) as b...

    Text Solution

    |

  17. Suppose that f is a polynomial of degree 3 and that f^(x)!=0 at any...

    Text Solution

    |

  18. The maximum value of the function f(x)=((1+x)^(0. 6))/(1+x^(0. 6)) in ...

    Text Solution

    |

  19. The value of a for which the functionf(x)=asinx+1/3sin3x has an extrem...

    Text Solution

    |

  20. If f(x)=(t+3x-x^2)/(x-4), where t is a parameter that has minimum and ...

    Text Solution

    |