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Practice — Trigonometry • The cosecant, secant and cotangent ratios

Question 27
Difficulty: ★☆☆
27
Solve the equation

\(\csc^2 x = 4\quad\text{for }-180^\circ \le x \le 180^\circ.\)

Enter your answer in degrees. For example, \(-60^\circ\) should be entered as -60
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Question 28
Difficulty: ★☆☆
28
Solve the equation

\(\sec^2 x = 9\quad\text{for }-180^\circ \le x \le 180^\circ.\)

Enter your answer in degrees, rounded to 1 decimal place. For example, \(-60.5^\circ\) should be entered as -60.5
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Question 29
Difficulty: ★☆☆
29
Solve the equation

\(9\cot^2\!\big(\tfrac{x}{2}\big)=4\quad\text{for }-180^\circ \le x \le 180^\circ.\)

Enter your answer in degrees, rounded to 1 decimal place. For example, \(-60.5^\circ\) should be entered as -60.5
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Question 30
Difficulty: ★☆☆
30
Solve the equation

\(\sec x=\cos x\quad\text{for }-180^\circ \le x \le 180^\circ.\)

Enter your answer in degrees, rounded to 1 decimal place. For example, \(-60^\circ\) should be entered as -60
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Question 31
Difficulty: ★☆☆
31
Solve the equation

\(\csc x=\sec x\quad\text{for }-180^\circ \le x \le 180^\circ.\)

Enter your answer in degrees, rounded to 1 decimal place. For example, \(-60^\circ\) should be entered as -60
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