Home
Class 11
MATHS
If a sec alpha +btan alpha=d and bsec al...

If a `sec alpha +btan alpha=d` and `bsec alpha +a tan alpha=c` prove that `a^2+c^2=b^2+d^2`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

If tan 2alpha = cot 2beta , then sec(alpha + beta) =

If sin alpha + cos alpha = sqrt2 cos alpha,"show that",tan 2 alpha = 1

If sec alpha and cosec alpha are the roots of x^2-px+q=0 then prove that p^2=q(q+2)

Prove that, (sec 8 alpha -1)/(sec 4 alpha-1)= (tan 8 alpha)/(tan 2 alpha

If" " tan theta = (sin alpha - cos alpha)/(sin alpha + cos alpha),"prove that",2 cos^(2) theta = 1 + sin 2 alpha.

If tan^(2) alpha+ 2tan alpha tan 2 beta= tan^(2) beta+ 2 tan beta tan 2 alpha, show that tan beta=+- tan alpha .

If cos alpha, sin alpha and cot alpha are in G.P. show that tan^(6)alpha- tan^(2)alpha=1

Prove that, tan 8alpha - tan 5 alpha - tan 3 alpha = tan 8alpha tan 5 alpha tan 3 alpha

If tan alpha.tan2alpha = 1 then find the value of cos2alpha .

"If "0ltalphaltpi/2 " and " sin alpha + cos alpha + tan alpha + cot alpha + sec alpha + cosec alpha = 7 " then " "show that " sin 2 alpha " is a root of " x^(2) - 44x - 36 = 0

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. if xsin^3theta+ycos^3theta =sin theta cos theta and x sin theta -y cos...

    Text Solution

    |

  2. Show that (sin^2 theta)/(1-cot theta)+(cos^2 theta)/(1-tan theta )=1+s...

    Text Solution

    |

  3. If a sec alpha +btan alpha=d and bsec alpha +a tan alpha=c prove that ...

    Text Solution

    |

  4. If a cos^3theta +3a cos theta sin^2theta =x and asin^3theta+3a cos^2th...

    Text Solution

    |

  5. If cos alpha =1/2(x+1/x),cos beta=1/2(y+1/y) then evaluate cos(alpha-b...

    Text Solution

    |

  6. If cos 2x + 2 cosx = 1 then evaluate sin^2x(2-cos^2x)

    Text Solution

    |

  7. Prove that sqrt3cosec 20^@-sec20^@=4

    Text Solution

    |

  8. Without using tables prove that (sin12^@)(sin 48^@)(sin 54^@)=1/8

    Text Solution

    |

  9. In any triangle prove that cot(A/2)+cot (B/2)+cot(C/2)=cot(A/2)cot(B/2...

    Text Solution

    |

  10. Find the value of (1+cos (pi/8))(1+cos(3pi/8))(1+cos(5pi/8))(1+cos(7pi...

    Text Solution

    |

  11. Find the value of (sqrt((1+sin 2A))+sqrt(1-sin 2A))/(sqrt(1+sin 2A)-sq...

    Text Solution

    |

  12. Find the maximum and minimum value of 6sinx cosx +4cos2x

    Text Solution

    |

  13. If f(x)=(sin3x)/sin x,X ne n pi then find range of f(x)

    Text Solution

    |

  14. Find the maximum and minimum value of cos^2theta -6 sin theta .cos the...

    Text Solution

    |

  15. Prove that sin 6^@ sin 42^@sin 66^@sin 78^@=1/16

    Text Solution

    |

  16. if 0ltalpha,beta,gamma lt(pi/2) prove that sin alpha+sin beta+sin gamm...

    Text Solution

    |

  17. Show that sin(pi/n)+sin (3pi/n)+sin (5pi/n)+….n terms=0

    Text Solution

    |

  18. .(tantheta +sectheta-1)/(tantheta -sectheta+1)=

    Text Solution

    |

  19. If sectheta=sqrt2 and (3pi)/2ltthetalt2pi. Then the value of (1+tanthe...

    Text Solution

    |

  20. (cosec(2pi+theta)cos(2pi+theta)tan(pi/2+theta))/(sec(pi/2+theta)costhe...

    Text Solution

    |