Solving a product of two trigonometric factors using the double-angle formula for sine
Solving a product of two trigonometric factors using the double-angle formula for sine
IB Year 6 | Grade 12
10 marks
Find all values of \(x\) in the interval \(0\le x\le2\pi\) that satisfy the equation \((\sin2x+\sqrt2\sin x)(\sin x+\cos x)=0\).[10]
Solution:
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Answer:\(x=0,\ \dfrac{3\pi}{4},\ \pi,\ \dfrac{5\pi}{4},\ \dfrac{7\pi}{4},\ 2\pi\)
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