Trigonometric Equations Reducible to Quadratic | Math Skills

Trigonometric Equations Reducible to Quadratic for Math Skills

Trigonometric Equations Reducible to Quadratic for Math Skills are based on trigonometric identities such as;
$$
\sin^2{x} + \cos^2{x} = 1 \\
1 + \cot^2{x} = \csc^2{x} \\
\tan^2{x} + 1 = \sec^2{x} \\
$$

Practice Questions

Question 1

Solve \( 2 \cos^2{x} – 3 \cos{x} + 1 = 0 \) for \( 0^\circ \ge x \ge 360^\circ \).

Question 2

Solve \( \sec^2{x} + 2 \tan{x} = 0 \) for \( 0^\circ \ge x \ge 360^\circ \).

Question 3

Solve \( \cot^2{x} = \csc{x} + 1 \) for \( 0^\circ \ge x \ge 360^\circ \).

Question 4

Solve \( \cos^2{x} + \cos{x} = \sin^2{x} \) for \( 0^\circ \ge x \ge 360^\circ \).

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Algebra Equations Reducible to Quadratic
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