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3 sin (x) + 4 cos (x) = 5. Find the value of sin (x). I have used (x) as theta
Write 3 sin (x) + 4 cos (x) = 5as:3sinx = 5 – 4cosxsquaring both sides,9(sinx)^2 = 25 + 16(cosx)^2 – 40cosx9(1-(cosx)^2) = 25 + 16(cosx)^2 – 40cosx9 – 25 = 25 (cosx)^2 – 40cosxassume cosx = t and solve the quadratic.25t^2 – 40t + 16 = 0after then u can convert it into sinx.
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