Home
Class 12
MATHS
In DeltaABC, a = 3, b = 4 and c = 5, the...

In `DeltaABC, a = 3, b = 4` and `c = 5`, then value of `sinA + sin2B + sin3C` is

Text Solution

Verified by Experts

The correct Answer is:
`14//25`
`E=sinA+sin2B+sin 3C`
`=(3)/(5)+2xx(4)/(5)xx(3)/(5)-1`
`=(15)/(25)+(24)/(25)-1=(39-25)/(25)=(14)/(25)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise 3.5|6 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise 3.6|5 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise 3.3|13 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Multiple Correct Answers Type|6 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC,a=3,b=4 and c=5, then value of sin A+sin2B+sin3C is

In DeltaABC , a=3, b=4 and c=5, evaluate sin2C.

In triangleABC , if a=3, b=4, c=5, then sin2B=

In a delta ABC, if tan A:tan B:tan C=3:4:5 then the value of sin A:sin B:sin C is equal to

In a DeltaABC , if a b and c are in AP ,then the value of ("sin"(A)/(2)"sin"(C)/(2))/("sin"(B)/(2)) is

In a DeltaABC . If a=2,b=3 and SinA=2//3 then what is value of angleB

If 0<=A,B,C<=pi and A+B+c=pi than the minimum value of sin3A+sin3B+sin3C is

CENGAGE-TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS-Exercise 3.4
  1. Prove that cos^(3)thetasin3theta+sin^(3)theta cos 3theta=(3)/(4)sin 4 ...

    Text Solution

    |

  2. (sin^2 3A)/(sin^2A)-(cos^2 3A)/(cos^2A)=

    Text Solution

    |

  3. Prove that (1+sec 2 theta)(1+sec 4 theta)(1+sec 8 theta)=(Tan 8theta)/...

    Text Solution

    |

  4. If in an isosceles triangle with base 'a', vertical angle 20^@ and lat...

    Text Solution

    |

  5. In DeltaABC, a = 3, b = 4 and c = 5, then value of sinA + sin2B + sin...

    Text Solution

    |

  6. If cosA=3/4, then 32 sin, A/2 sin, (5A)/2= (A) sqrt(11) (B) -sqrt(11) ...

    Text Solution

    |

  7. Find the value of (4cos^(2)9^(@)-1)(4cos^(2)27^(@)-1) (4cos^(2)81^(@...

    Text Solution

    |

  8. If theta is an acute angle and sin((theta)/(2))=sqrt((x-1)/(2x)) ,then...

    Text Solution

    |

  9. In a triangle ABC, if sin A sin(B-C)=sinC sin(A-B), then prove that co...

    Text Solution

    |

  10. Let a=(pi)/(7), then (a) show that sin^(2)3a-sin^(2)a=sin2asin3a (...

    Text Solution

    |

  11. Show that 1/(sin 10^@) - sqrt3/(cos 10^@) = 4

    Text Solution

    |

  12. Prove that 2 sin^2 beta + 4 cos(alpha + beta) sin alpha sin beta + co...

    Text Solution

    |

  13. If tan x=(a)/(b) and tan 2x=(b)/(a+b) find the smallest positive value...

    Text Solution

    |

  14. tantheta+tan(6 0^0+theta)+tan(12 0^0+theta)=3tan3theta

    Text Solution

    |

  15. If A=110^(@), then prove that (1+sqrt(1+tan^(2)2A))/(tan2A)=-tan A.

    Text Solution

    |

  16. If alpha and beta are the two different roots of equations alpha cos t...

    Text Solution

    |

  17. If tan beta=cos theta tan alpha, then prove that tan^(2)""(theta)/(2)=...

    Text Solution

    |

  18. If cos theta=a/(b+c), cos phi= b/(a+c) and cos psi=c/(a+b) where theta...

    Text Solution

    |

  19. If cos theta=(cos alpha-cos beta)/(1-cos alpha cos beta),prove that ta...

    Text Solution

    |

  20. If tan theta tan phi=sqrt((a-b)/(a+b)), prove that a-bcos 2theta)(a-...

    Text Solution

    |