Home
Class 11
MATHS
If the value of the expression sin 25^@*...

If the value of the expression `sin 25^@* sin 35^@* sin 85^@` can be expressed as `(sqrta+sqrt b)/c`where a,b,c N and are in their lowest form, find the value of `(a+b+c)`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    ALLEN|Exercise All Questions|86 Videos

Similar Questions

Explore conceptually related problems

If the value of the expression sin25^(@)*sin35^(@)*sin85^(@) can be expressed as (sqrt(a)+sqrt(b))/(c) where a,b,cN and are in their lowest form,find the value of (a+b+c)

Given a triangle ABC with sides a=7,b=8 and c=5. If the value of the expression (sum sin A)(sum(cot A)/(2)) can be expressed in the form (p)/(q) where p,q in N and (p)/(q) is in its lowest form find the value of (p+q)

The ordinate of a point P on the line 6x + y = 9 which si closest to point (-3, 1) can be expressed in the form a//b . Where a, b, in N and are in lowest form, then find the value (a + b)/(25)

If the value of the expression ((2tan((pi)/(24)))/(1+tan^(2)((pi)/(24))))^(2) can be put in the form (a-sqrt(b))/(c) where a b and c are relatively prime, then the value of (a+b+c), is

In a triangle ABC, the value of sin A+sin B+sin C is

If the value of sin9^(@) is expressed in the form of (sqrt(a+sqrt(c))-sqrt(c-sqrt(c)))/(b) , where a,b,c are co- prime natural numbers then find a, b and c

If the value of sin25^(@)sin35^(@)sin85^(@)=(sqrt(a)+sqrt(b))/(c) then find the value of (a+b+c)

If A+B+C=pi, the value of sin2A+sin2B+sin2C=k sin A sin B sin C then value of k is

If sin A sin B sin C+cos A cos B=1 then the value of sin C=

Let P_(n)=prod_(k=2)^(n)(1-(1)/((k+1)C_(2))). If lim_(n rarr oo)P_(n) can be expressed as lowest rational in the form (a)/(b), find the value of (a+b)

ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dc...

    Text Solution

    |

  2. if m*tan(theta-30)=n*tan(theta+120), show that cos2theta=(m+n)/(2(m-n)...

    Text Solution

    |

  3. If the value of the expression sin 25^@* sin 35^@* sin 85^@ can be exp...

    Text Solution

    |

  4. Prove that (4cos^2 9^0-3)(4cos^2 27^0-3)=tan9^0dot

    Text Solution

    |

  5. Let P(k)=(1+cospi/(4k)) (1+cos((2k-1)pi)/(4k)) (1+cos((2k+1)pi)/(4k))...

    Text Solution

    |

  6. If (1+t a n1^0)dot(1+t a n2^0)dot(1+t a n3^0)(1+tan45^0)=2^n , then ' ...

    Text Solution

    |

  7. Prove that in an acute triangle ABC, the least values of Sigma secA an...

    Text Solution

    |

  8. If tan(alpha)= p/q where alpha=6 beta, alpha being an acute angle, pr...

    Text Solution

    |

  9. If tan(pi/4+)=tan^3(pi/4+x/2)dot Prove that (siny)/(sinx)=(3+sin^2x)/...

    Text Solution

    |

  10. Q. Prove that from the equality sin^4 alpha/a+cos^4 alpha/b=1/(a+b) fo...

    Text Solution

    |

  11. If P=cos(pi/19)+cos((3pi)/19)+cos((5pi)/19)+....+cos((17pi)/19) and Q=...

    Text Solution

    |

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

    Text Solution

    |

  13. If A+B+C=pi, prove that tan^2A/2+tan^2B/2+tan^2C/2geq1.

    Text Solution

    |

  14. Prove that the triangle ABC is equilateral if cotA+cotB+cotC=sqrt3

    Text Solution

    |

  15. If the product (sin1^0)(sin3^0)(sin5^0)(sin7^0)....(sin 89^0)=1/(2^n) ...

    Text Solution

    |

  16. For 0<theta<pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+((m-1)/...

    Text Solution

    |

  17. If (1+sint)(1+cost)=5/4dot Find the value (1-sint)(1-cos t)

    Text Solution

    |

  18. Find the exact value of tan^2(pi/16)+tan^2((3pi)/16) + tan^2((5pi)/16)...

    Text Solution

    |

  19. Period of f(x)=sin^4x+cos^4x is- pi b. pi/2 c. 2pi d. none of these

    Text Solution

    |

  20. Period of sin^2theta is- pi^2 b. pi/2 c. 2pi d. pi

    Text Solution

    |