Basic Trigonometric Inequalities I | math4u.vsb.cz

Submitted by michaela.bailova on Sun, 12/01/2024 - 01:36

Project ID:

7100020182

Accepted:

SubArea:

Trigonometric equations and inequalities

Type:

Layout:

Question:

Match each inequality with the set of all its solutions lying in the interval

[0, 2 π]

.

Question 1:

\sin x \geq 0

Answer 1:

[0, π]

Question 2:

\sin^{2} x \geq 0

Answer 2:

[0, 2 π]

Question 3:

\sin x \leq - 1

Answer 3:

{\frac{3 π}{2}}

Question 4:

\sin x \geq 1

Answer 4:

{\frac{π}{2}}

Question 5:

\sin^{2} x \geq 1

Answer 5:

{\frac{π}{2}, \frac{3 π}{2}}

Question 6:

\cos x \leq 0

Answer 6:

[\frac{π}{2}, \frac{3 π}{2}]

Question 7:

\cos^{2} x \geq 1

Answer 7:

{0, π, 2 π}

Question 8:

\cos x \leq - 1

Answer 8:

{π}

Question 9:

\cos^{2} x \leq - 1

Answer 9:

\emptyset