sectheta +tan theta =4 then find value of cos theta ,tan theta ,sin theta
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tanA + secA = 4.
Squaring both sides,
tan^2A + 2tanA*secA + sec^2A =16.
Putting tan^2A = sec^2A-1,
2tanA*secA + 2sec^2A - 1 = 16.
2secA ( tanA+secA ) = 17.
As tanA + secA = 4,
secA = 17/8 & tanA = 15/8.
sinA = tanA/secA = 15/17.
Squaring both sides,
tan^2A + 2tanA*secA + sec^2A =16.
Putting tan^2A = sec^2A-1,
2tanA*secA + 2sec^2A - 1 = 16.
2secA ( tanA+secA ) = 17.
As tanA + secA = 4,
secA = 17/8 & tanA = 15/8.
sinA = tanA/secA = 15/17.
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