Gate Exam

if sinA+SinB+sinC=3

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

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Gate Other Question

if secA-tanA=3

then find the value of (5cosA+4cotB)??
The sum of three positive real numbers x, y and z is 9. If the largest positive difference between any 2 of the 3 numbers is 5 and these 3 numbers are in arithmetic progression then the product of these 3 numbers will be what