SOLUTION: if tanA+secA= 3 then find tha value of sinA.

Question 394612: if tanA+secA= 3 then find tha value of sinA.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Rewrite everything in terms of sin(A) and cos(A) to get

I'll rewrite as

Squaring both sides,

Let . It is easy to see that we can now obtain a quadratic:

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= -1 or 4/5. These values are between -1 and 1 inclusive, so these are the two possible values for sin(A).

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