Find the exact values of the solutions in the interval 0 <= x < 2pi of the following equations without using a calculator. a) 3sec(x) + 2 = 8

a) , , b) , , ,

Step-by-step explanation:

a) We proceed to solve the expression by algebraic and trigonometrical means:

1)

2)

3)

4)

5)

6)

Cosine has positive values in first and fourth quadrants. Then, we have the following two solutions:

,

b) We proceed to solve the expression by algebraic and trigonometrical means:

1)

2)

3)

4)

There is one solution for each quadrant. That is to say:

, , ,

50.6

step-by-step explanation: