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ABC is a right angled triangle, then the...

ABC is a right angled triangle, then the value of `sin^(2)A + sin^(2)B + sin^(2)C` will be-

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B
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A triangle ABC is inscirbed in a circle. If half the sum of the square of its three sides is equal to twice the square of the diameter of the circle, then the value of sin^(2)A + sin^(2)B + sin^(2)C will be-

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Knowledge Check

  • If ABC is a right angled triangle, then the value of (cos ^(2)A +cos ^(2) B+ cos ^(2)C) is -

    A
    2
    B
    1
    C
    0
    D
    `3/2`

  • In any triangle ABC, the value of (b^(2)sin 2C + c^(2) sin 2B) is-

    A
    `Delta`
    B
    `2Delta`
    C
    `3Delta`
    D
    `4Delta`

  • In triangle ABC, if a^(2) + b^(2) +c^(2) -bc -ca -ab=0, then the value of sin ^(2)A+ sin ^(2)B+sin ^(2)C is -

    A
    `9/4`
    B
    `4/9`
    C
    `(3sqrt3)/(2)`
    D
    `3/2`

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    If A,B,C are the angles of a triangle, find the maximum values of : sin A sin B sin C

    If A,B,C are the angles of a triangle, find the maximum values of : sin A+ sinB+ sin C

    In a right angle triangle ABC, right angle is at B ,If tan A=sqrt(3) , then find the value of (i) sin A cos C+ cos A sin C " "(ii) cos A cos C -sin A sin C

    If for a triangle ABC, |(1,a,b),(1,c,a),(1,b,c)|=0 then the value of sin^(2)A+sin^(2)B+sin^(2)C is -

    If A and B are complementary angles, then the value of (sin^2A+sin^2B)/(cosec^2A-tan^2B)

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