Calculus Questions on trigonometry

x =

+ 2nπ and

x =

+ 2nπ, where
n is an integer.

2.–/0.41 pointsLarPreCalcRMRPAlt6 6.3.002.My Notes

Fill in the blank.

The equation tan²(x) – 5 tan(x) + 6 = 0 is an equation of type.

3.–/0.41 pointsLarPreCalcRMRPAlt6 6.3.003.My Notes

Is x = 0

a solution of the equation

cos x = 0?

YesNo

4.–/0.41 pointsLarPreCalcRMRPAlt6 6.3.004.My Notes

To solve sec x sin² x = sec x,

do you divide each side by

sec x?

YesNo

5.–/0.41 pointsLarPreCalcRMRPAlt6 6.3.008.My Notes

Verify that the x-values are solutions of the equation.14 cos² 2x − 7 = 0

(a)x =

14 cos2 2 π 8 − 7	=	14 cos2 π − 7
	=	− 7
	=	0

(b)

x =

14 cos2 2 3π 8 − 7	=		14 cos2 3π − 7
	=	− 7
	=	0

6.–/0.41 pointsLarPreCalcRMRPAlt6 6.3.014.My Notes

Find all solutions of the equation in the interval [0°, 360°). (Enter your answers from smallest to largest.)

x =
°

x =
°

7.–/0.41 pointsLarPreCalcRMRPAlt6 6.3.016.My Notes

Find all solutions of the equation in the interval [0°, 360°). (Enter your answers from smallest to largest.)

x =
°

x =
°

8.–/0.41 pointsLarPreCalcRMRPAlt6 6.3.018.My Notes

Find all solutions of the equation in the interval [0, 2π). (Write your answer in terms of π. Enter your answers from smallest to largest.)

x =

radians

x =

radians

9.–/0.41 pointsLarPreCalcRMRPAlt6 6.3.022.My Notes

Find all solutions of the equation in the interval [0, 2π).cos x =

10.–/0.41 pointsLarPreCalcRMRPAlt6 6.3.026.My Notes

Find all solutions of the equation in the interval [0, 2π).sec x = 2

11.–/0.41 pointsLarPreCalcRMRPAlt6 6.3.030.My Notes

Solve the equation for x. Use n as an integer constant.

x =

(smaller value for a given
n)

x =

(larger value for a given
n)

12.–/0.49 pointsLarPreCalcRMRPAlt6 6.3.034.My Notes

Solve the equation. (Use n as an integer constant. Enter your response in radians.)3 cot²(x) − 1 = 0

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