Latest Gate Aptitude Question SOLUTION: if sinA+SinB+sinC=3 find the value of cosA+cosb+cosC???

• Placement Papers
• /
• Gate

Gate Question Papers:

(#M40019938) GATE question TRIGONOMETRY Keep an EYE

if sinA+SinB+sinC=3

find the value of cosA+cosb+cosC???

Asked In Gate vignesh (10 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (0)   (1) Submit Your Solution

Read Solution (1) :

nishant kumar  (10 years ago)

Since the maximum value for sin is 1 and since you have three sin's adding up to 3, each of the sin's must be 1! (If any of the sin's are not 1, then there is no way for the other two to make up the difference.) So A = B = C = 90 degrees or any angle coterminal with 90 degrees. And the cos of 90 degrees is zero. So cos(A)+cos(B)+cos(C) = 0+0+0 = 0.

Is this solution Helpfull? Yes (2) | No   

Please Login to Read Solution.