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If A+B+C=270^(@), then the value of cos...

If `A+B+C=270^(@), ` then the value of `cos 2A +cos 2B + cos 2C + 4 sin A sin B sin C` is-

A

4

B

2

C

1

D

0

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If A+B+C=pi then the value of cos ^(2)A + cos ^(2) B+ cos ^(2)C is-

    A
    `1-cos A cos B cosC`
    B
    `2 cos A cos B cos C`
    C
    `1-2 cos A cos B cos C`
    D
    `1+2 cos A cos B cos C`

  • If sin A +sin B =2, then the value of cos (A+B) is-

    A
    0
    B
    1
    C
    `-1`
    D
    2

  • If A+C+B=180, then the value of (cos ^(2) A+ cos ^(2) B +cos ^(2) C-2 cos A cos B cos C) is-

    A
    3
    B
    2
    C
    1
    D
    0

    • Similar Questions

    Explore conceptually related problems

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    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

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