Home
Class 11
MATHS
Find the values of theta in the interval...

Find the values of `theta` in the interval `(-pi/2,pi/2)` satisfying the equation, `(1-tantheta)``(1+tantheta)``sec^2theta`+`2^(tan^2theta)`=0

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

The number of real values of theta lying in the interval (-pi/2, pi/2) and satisfying the equation (sqrt3)^(sec^2theta)=tan^4theta+2tan^2theta is

The number of values of theta in the interval (-pi/2,pi/2) satisfying the equation (sqrt(3))^(sec^2theta)=tan^4theta+2tan^2theta is 2 (b) 4 (c) 0 (d) 1

(1-tantheta)(1+sin 2theta) = (1+tantheta)

The number of values of theta in the interval -pile theta le pi satisfying the equation cos theta + sin 2 theta =0 is-

tantheta + cot 2theta=2

The number of values of theta in the interval (-pi/2, pi/2) such that theta ne (npi)/5 for n ne 0,+-1, +-2 and tantheta=cot5theta as well as sin2theta=cos4theta is

tan3theta + tantheta = 2tan 2theta

Show that, ((1-tantheta)/(1-cottheta))^2=(1+tan^2theta)/(1+cot^2theta).

Solve: (1-tantheta)(1+sin2theta)=(1+tantheta)

The value of theta lying between theta=0 and theta=pi/2 and satisfying the equation |1+sin^2theta cos^2theta4sin4thetasin^2theta1+cos^2theta4sin4thetasin^2thetacos^2theta1+4sin4theta|=0a r e (7pi)/(24) (b) (5pi)/(24) (c) (11pi)/(24) (d) pi/(24)

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Let P(k)=(1+cos(pi/(4k))) (1+cos(((2k-1)pi)/(4k))) (1+cos(((2k+1)pi)/...

    Text Solution

    |

  2. The sides of a triangle are x^2+x+1,2x+1,a n dx^2-1 . Prove that the g...

    Text Solution

    |

  3. Find the values of theta in the interval (-pi/2,pi/2) satisfying the e...

    Text Solution

    |

  4. ABC is a triangle such that sin(2A+B)=sin(C-A)=-sin(B+2C)=1/2. If A,B...

    Text Solution

    |

  5. Let a, b and c be the three sides of a triangle, then prove that the e...

    Text Solution

    |

  6. Number of roots of the equation |sinxcosx| +sqrt(2+t a n^2x+cot^2x)=sq...

    Text Solution

    |

  7. Let f:(-1,1)vecR be such that f(cos4theta)=2/(2-sec^2theta) for thet...

    Text Solution

    |

  8. In a triangle ABC, if the sides a,b,c, are roots of x^3-11 x^2+38 x-40...

    Text Solution

    |

  9. If A=sin45^0+cos45^0a n d B=sin44^0+cos44^0, then (a)A>B (b) A=B

    Text Solution

    |

  10. If a , b in [0,2pi] and the equation x^2+4+3sin(a x+b)-2x=0 has at l...

    Text Solution

    |

  11. Let alt=blt=c be the lengths of the sides of a triangle. If a^2+b^2 &...

    Text Solution

    |

  12. Show that 4sin27^0=(5+sqrt(5))^(1/2)+(3-sqrt(5))^(1/2)

    Text Solution

    |

  13. The sum of all roots of sin(pi(log)3(1/x))=0 in (0,2pi) is

    Text Solution

    |

  14. Three parallel chords of a circle have lengths 2,3,4 units and subtend...

    Text Solution

    |

  15. Prove that cos36^0cos72^0cos108^0cos144^0=1/(16)dot

    Text Solution

    |

  16. The equation tan^4x-2sec^2x+a=0 will have at least one solution if

    Text Solution

    |

  17. A tower P Q stands at a point P within the triangular park A B C such ...

    Text Solution

    |

  18. The number of ordered pairs (x,y) satisfying |x|+|y|=2 and sin""((pi...

    Text Solution

    |

  19. If tanbeta=(tanalpha+tangamma)/(1+tanalphatangamma)dot prove that sin...

    Text Solution

    |

  20. Prove that a(bcosC-c cosB)=b^2-c^2

    Text Solution

    |