Question

Solve for x
1) 3sec^ 2x = 4
2) 2sin 3x = 1​

Answer 1

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• Solve for x.

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$3 { \sec}^{2} x = 4$

$\implies { \sec}^{2} x = \frac{4}{3}$

$\implies \sec x = \sqrt{ \frac{4}{3} }$

$\implies \sec x = \frac{2}{ \sqrt{3} }$

From Trigonometry ratio table, we can say that,

$\implies \sec x = \sec30 \degree$

$\implies x = 30 \degree$

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$2 \sin3x = 1$

$\implies \sin3x = \frac{1}{2}$

From Trigonometry ratio table, we can say that,

$\sin3x = \sin30 \degree$

$\implies3x = 30\degree$

$\implies x = 10 \degree$

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• Question 1: $x = 30 \degree$
• Question 2: $x = 10 \degree$