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If 0 lt A lt pi//2 and sinA + cosA + tan...

If `0 lt A lt pi//2` and sinA + cosA + tan A + cotA + secA + cosec A=7 and sinA and cosA are roots of equation `4x^(2) - 3x +a=0`. Then value of 25a is:

A

28

B

30

C

26

D

32

Text Solution

Verified by Experts

The correct Answer is:
A
`sinA + cosA= 3//4`………(1)
`sinA cosA = a//4`………..(2)
`(sinA + cosA) + (1/(sinA cos)) + (sinA + cosA)/(sinA cosA)=7`
put the value from (1) and (2)
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