Q. 2

# Write the number

4sin x – 3cos x = 7

4sin x – 7 = 3cos x

Squaring both sides

16(sin x)2 + 49 – 56sin x = 9(cos x)2

16(sin x)2 + 49 – 56sin x = 9((sin x)2-1)

16(sin x)2-9(sin x)2-56sin x+49+9=0

7(sin x)2-56sin x+58=0

Sin x = 6.7774 or 1.2225

But we know that sinθ lies between [-1,1]

So there are no solutions for this given equation

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