Multiple Choice Questions on If A 30 deg B 60 deg and C 135 deg then what is the value of sin3A cos3B tan3C ndash 3sin A cos B ta........... for SSC CGL Exam Preparation

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Multiple Choice Questions

If A 30 deg B 60 deg and C 135 deg then what is the value of sin3A cos3B tan3C ndash 3sin A cos B ta...........

Quantitative Aptitude (CGL) Trignometry
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    If A = 30°, B = 60° and C = 135°, then what is the value of sin3A + cos3B + tan3C – 3sin A cos B tan C?

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    Explanation:

    A=30 
    then sin30 = 1/2
    B=60 
    then cos 60 =1/2
    C=135 
    i.e. (90+4 5) , 
    tan (90+45)= -cot 45= -1
    now Sin^3A= (1/2)^3= 1/8
    cos^3B = (1/2)^3 = 1/8
    tan^3C = (-1)^3=-1
    so 
    1/8)(+(1/8)-1-3*(1/2)*(1/2)*(-1)=0

    By: MIRZA SADDAM HUSSAIN
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