Geography, asked by Anoushkanath776, 1 year ago

Maximum value of sin a + sin b + sin c when a+b+c = 225

Answers

Answered by kvjkarthik
0

Answer:

2.897

Explanation:

sina + sinb + sinc = ?

Assuming a,b,c are values in degrees.

Thus, a+b+c = 225° (given)

Maximum value of sine is 1 at 90°

Therefore, sin90° + sin90° + sin(225-90-90)

= 1 + 1 + sin(45°) = 2 + sin45° = 2 + 1/√2 = 2.7071

But if a=b=c, then a=b=c=75°

Finding the values of sina +sinb +sinc = 3sin75° = 2.897

Hence the maximum value is 2.897

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