Home
Class 12
MATHS
If sinx+sin^2x=1 then the value of tan^8...

If `sinx+sin^2x=1` then the value of `tan^8x-tan^4x-2tan^2x+1` will be equal to 0 (b) 1 (c) 2 (d) 3

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
`secx=1-sec^2x`
`rArrsecx=-tan^2x`
Squaring both side, we get
`sec^2x=tan^4x`
`rArr1+tan^2x=tan^4x`
Squaring both side, we get
`tan^8x=tan^4+2tan^2x+1`
`rArr tan^8x-tan^4x-2tan^2x=1`
`tan^8x-tan^4x-2tan^2x+1=2`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|17 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Linked Comprehension Type|11 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Concept Application Exercises 2.14|1 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE ENGLISH|Exercise Archives (Matrix Match Type)|1 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Matrix Match Type|1 Videos

Similar Questions

Explore conceptually related problems

If secx+sec^2x=1 then the value of tan^8x-tan^4x-2tan^2x+1 will be equal to 0 (b) 1 (c) 2 (d) 3

If ((1+cos2x))/(sin2x)+3(1+(tanx)tan.(x)/(2))sin x=4 then the value of tanx can be equal to

If tan x =1(1)/3 , find the value of : 4 sin^2x -3 cos^2x +2

Let |[tan^(-1)x,tan^(-1)2x,tan^(-1)3x],[tan^(-1)3x,tan^(-1)x,tan^(-1)2x],[tan^(-1)2x,tan^(-1)3x,tan^(-1)x]| =0 , then the number of values of x satisfying the equation is (a) 1 (b) 2 (c) 3 (d) 4

If x in ( - pi/2, pi/2) , then the value of tan^(-1) ((tan x)/4) + tan^(-1) ((3 sin 2x)/(5 + 3 cos 2x)) is

The value of 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x) is equal to (a) cot^(-1)x (b) cot^(-1)1/x (c) tan^(-1)x (d) none of these

The value of x that satisfies tan^(-1)(tan -3)=tan^(2)x is

lim_(x->0)(x^4(cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)) is equal to (a) 1 (b) 0 (c) 2 (d) none of these

If tan^-1 x+tan^-1 2x+tan^-1 3x=pi, then (A) x=0 (B) x=1 (C) x=-1 (D) xepsilonphi

If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is equal to (a) 4tan^(-1)x (b) 0 (c) pi/2 (d) pi

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS -Exercises
  1. If sinx+sin^2x=1, then find the value of cos^(12)x +3cos^(10)x + 3 cos...

    Text Solution

    |

  2. 3(sintheta-costheta)^(4)+6(sintheta+costheta)^(2)+4(sin^(6)theta+cos^(...

    Text Solution

    |

  3. If sinx+sin^2x=1 then the value of tan^8x-tan^4x-2tan^2x+1 will be equ...

    Text Solution

    |

  4. (1+tanalphatanbeta)^2+(tanalpha-tanbeta)^2=

    Text Solution

    |

  5. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  6. A circle is drawn in a sectore of a larger circle of radius r, as show...

    Text Solution

    |

  7. A right triangle has perimeter of length 7 and hypotenuse of length 3....

    Text Solution

    |

  8. Given that the side length of a rhombus is the geometric mean of the ...

    Text Solution

    |

  9. Which of the following is correct?

    Text Solution

    |

  10. The equation sin^2theta=(x^2+y^2)/(2x y),x , y!=0 is possible if

    Text Solution

    |

  11. If sin^2theta=(x^2+y^2=1)/(2x) , then x must be -3 (b) -2 (c) 1 (d)...

    Text Solution

    |

  12. If s e c^2theta=(4x y)/((x+y)^2) is true if and only if (a)x+y!=0 (b)...

    Text Solution

    |

  13. If sintheta1+sintheta2+sintheta3=3," then "costheta1+costheta2+costhet...

    Text Solution

    |

  14. If sinx+siny+sinz+sinw=-4" then the value of "sin^400x+sin^300y+sin^20...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. If 1+sinx+sin^2x+sin^3x+oo is equal to 4+2sqrt(3),0<x<pi, then x is eq...

    Text Solution

    |

  17. The value of expression (2sin^2 91^0-1)(2sin^2 92^0-1)...(2sin^2 180^0...

    Text Solution

    |

  18. If sinA=sin^2B and 2cos^2A=3cos^2B then the triangle ABC is

    Text Solution

    |

  19. If sintheta+costheta=1/5and 0lethetaltpi" then "tantheta is

    Text Solution

    |

  20. If piltalphalt(3pi)/2lt" then "sqrt((1-cosalpha)/(1+cosalpha))+sqrt((1...

    Text Solution

    |