Basic Trigonometric Inequalities II | math4u.vsb.cz

Submitted by michaela.bailova on Sun, 12/01/2024 - 01:58

Project ID:

7100020183

Accepted:

SubArea:

Trigonometric equations and inequalities

Type:

Layout:

Question:

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

[- \frac{π}{2}, \frac{π}{2}]

.

Question 1:

tg x \geq 0

Answer 1:

[0, \frac{π}{2})

Question 2:

{tg}^{2} x > 0

Answer 2:

(- \frac{π}{2}, 0) \cup (0, \frac{π}{2})

Question 3:

tg x > 1

Answer 3:

(\frac{π}{4}, \frac{π}{2})

Question 4:

{tg}^{2} x > 1

Answer 4:

(- \frac{π}{2}, - \frac{π}{4}) \cup (\frac{π}{4}, \frac{π}{2})

Question 5:

{tg}^{2} x \geq 0

Answer 5:

(- \frac{π}{2}, \frac{π}{2})

Question 6:

cotg x \geq 0

Answer 6:

(0, \frac{π}{2}]

Question 7:

{cotg}^{2} x \geq 0

Answer 7:

[- \frac{π}{2}, 0) \cup (0, \frac{π}{2}]

Question 8:

cotg x > 1

Answer 8:

(0, \frac{π}{4})

Question 9:

{cotg}^{2} x > 1

Answer 9:

(- \frac{π}{4}, 0) \cup (0, \frac{π}{4})