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 \( 0^\circ \ge x \ge 360^\circ \).

Related Topics

Algebra Equations Reducible to Quadratic
Fraction Equations Reducible to Quadratic
Equations Reducible to Quadratic by Substitution
Exponential Equations Reducible to Quadratic
Logarithmic Equations Reducible to Quadratic
Surd Equations Reducible to Quadratic