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Question Number 189897 by Mingma last updated on 23/Mar/23

Answered by mr W last updated on 24/Mar/23

$$a^2={\cos }^{2}x+4{\sin }^{2}x$$$$b^2=4{\cos }^{2}x+1+4{\cos }^{2}x=8{\cos }^{2}x+1$$$$c^2=4+{\sin }^{2}x+4{\sin }^{2}x=5{\sin }^{2}x+4$$$$a^2+b^2=c^2$$$$9{\cos }^{2}x+4{\sin }^{2}x+1=5{\sin }^{2}x+4$$$$5{\sin }^{2}x=3$$$$\sin x=\sqrt{\frac{3}{5}}✓$$

Commented by Rupesh123 last updated on 24/Mar/23

Excellent!

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