Home
Class 11
MATHS
Exact value of cos 20^0+2sin^2\ \ 55^0-s...

Exact value of `cos 20^0+2sin^2\ \ 55^0-sqrt(2)sin65^0\ ` is- a.`1` b. `1/(sqrt(2))` c.`sqrt(2)` d. zero

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    ALLEN|Exercise All Questions|114 Videos

Similar Questions

Explore conceptually related problems

Show that: sin 50^0cos95^0=(sqrt(2)sin35^0-1)/(2sqrt(2))

Show that: sin 50^0cos85^0=(1-sqrt(2)sin35^0)/(2sqrt(2))

The value of (cos^3 20^@-cos^3 70^@)/(sin^3 70^@-sin^3 20^@) is (a) 1/2 (b) 1/(sqrt(2)) (c) 1 (d) 2

The value of sin^2 75^0-sin^2 15^0 is a. 1//2 b. sqrt(3)//2 c. 1 d. 0

the value of sqrt(1-sin^2 11 0^(@))*sec11 0^(@)

If sintheta+cos e ctheta=2 , then the value of sintheta/(16)sintheta/8sintheta/4sintheta/2sin2theta is 1 b. 1/(sqrt(2)) c. -1/(sqrt(2)) d. 0

The value of sin^(-1){cot(sin^(-1)(sqrt((2-sqrt3)/4)+cos^(-1)(sqrt(12)/4)+sec^(-1)sqrt2)} is

The value of cos^-1[cot(sin^-1(sqrt((2-sqrt3)/4))+cos^-1(sqrt12/4)+sec^-1sqrt2)

If cos20^(@)+2sin^(2)55^(@)=1+sqrt(2)sinK^(@), K in (0, 90)," then "K=

Prove that: sin 65^0+cos 65^0=sqrt(2)cos 20^0

ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. If tantheta=sqrt(a/b)where a , b are positive reals then the value o...

    Text Solution

    |

  2. The expression (sin(alpha+theta)-"sin"(alpha-theta))/(cos(beta-theta)-...

    Text Solution

    |

  3. Exact value of cos 20^0+2sin^2\ \ 55^0-sqrt(2)sin65^0\ is- a.1 b. 1/(...

    Text Solution

    |

  4. If cos(theta+phi)=mcos(theta-phi) ,then tantheta is equal to a.((1+m)...

    Text Solution

    |

  5. If sin theta+"cosec"theta=2, then the value of sin^(8)theta+"cosec"^(...

    Text Solution

    |

  6. If the expression 4sin5alphacos3alphacos2alpha s expressed as the su...

    Text Solution

    |

  7. The expression 3[sin^4(3/2pi-alpha)+sin^4(3pi+alpha)]-2[sin^6(1/2pi+al...

    Text Solution

    |

  8. If costheta=1/2(a+1/a)\ t h e n\ cos 3theta in term of ' a^(prime)= a...

    Text Solution

    |

  9. The product cot123^0dotcot133^0dotcot137^0dotcot147^0, when simplified...

    Text Solution

    |

  10. If A+B+C=pi\ &sin(A+C/2)=ksinC/2, t h e ntanA/2tanB/2= a.(k-1)/(k+1) ...

    Text Solution

    |

  11. If alpha+beta+gamma=2pi, then tanalpha/2tanbeta/2+tangamma/2=tanalpha...

    Text Solution

    |

  12. If A and C are two angles such that A+C=(3pi)/4 then (1+cotA)(1+cotC)=

    Text Solution

    |

  13. (log)(t1)(4sin9^0cos9^0)w h e r e\ t1=4sin 63^0cos 63^0\ e q u a l s ...

    Text Solution

    |

  14. l=((cot^2x.cos^2x)/(cot^2x-cos^2x))^2 and m=a^(log(sqrt(a))[2cos(y/2)]...

    Text Solution

    |

  15. If (a+b)tan(theta-varphi)=(a-b)tan(theta+varphi),\ t h e n(sin(2theta)...

    Text Solution

    |

  16. Let m=t a n3\ a n d\ n=s e c6,\ then which of the following statement...

    Text Solution

    |

  17. (sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2th...

    Text Solution

    |

  18. If sce A=17/8 and cosec B=5/4, then sec(A+B) can have the value equal ...

    Text Solution

    |

  19. It is known that sin beta= 4/5 and 0 lt beta lt pi, then the value of ...

    Text Solution

    |

  20. In a Delta ABC, angle B lt angle C and the values of B and C satisfy t...

    Text Solution

    |