Chapter Review of Trig Identities and Equations
Chapter
Chapter 7
Section
Chapter Review of Trig Identities and Equations
You need to sign up or log in to purchase.
You need to sign up or log in to purchase.
Solutions 33 Videos

Which trigonometric ratio is equivalent to the trigonometric ratio below.

 \displaystyle \sin \frac{3\pi}{10} 

Buy to View
0.48mins
Q1a

Which trigonometric ratio is equivalent to the trigonometric ratio below.

 \displaystyle \cos \frac{6\pi}{7} 

Buy to View
0.46mins
Q1b

Which trigonometric ratio is equivalent to the trigonometric ratio below.

 \displaystyle -\sin \frac{13\pi}{7} 

Buy to View
0.36mins
Q1c

Which trigonometric ratio is equivalent to the trigonometric ratio below.

 \displaystyle -\cos \frac{8\pi}{7} 

Buy to View
0.33mins
Q1d

Write an equation that is equivalent to

 \displaystyle y = -5\sin(x -\frac{\pi}{2}) - 8  , using the cosine function.

Buy to View
0.51mins
Q2

Use a compound angle formula to determine a trigonometric expression that is equivalent to the expressions.

 \displaystyle \sin(x - \frac{4\pi}{3}) 

Buy to View
1.09mins
Q3a

Use a compound angle formula to determine a trigonometric expression that is equivalent to the expressions.

 \displaystyle \cos(x + \frac{3\pi}{4}) 

Buy to View
1.01mins
Q3b

Use a compound angle formula to determine a trigonometric expression that is equivalent to the expressions.

 \displaystyle \tan (x + \frac{\pi}{3}) 

Buy to View
0.24mins
Q3c

Use a compound angle formula to determine a trigonometric expression that is equivalent to the expressions.

 \displaystyle \cos(x - \frac{5\pi}{4}) 

Buy to View
0.50mins
Q3d

Evaluate the expression.

 \displaystyle \frac{\tan \frac{\pi}{12} + \tan\frac{7\pi}{4}}{1 -\tan\frac{\pi}{12}\tan\frac{7\pi}{4}} 

Buy to View
1.07mins
Q4a

Evaluate the expression.

 \displaystyle \cos \frac{\pi}{9} \cos\frac{19\pi}{18} - \sin \frac{\pi}{9}\sin \frac{19\pi}{18} 

Buy to View
0.54mins
Q4b

Simplify the expression.

 \displaystyle 2\sin \frac{\pi}{12}\cos\frac{\pi}{12} 

Buy to View
0.18mins
Q5a

Simplify the expression.

 \displaystyle \cos^2 \frac{\pi}{12} - \sin^2 \frac{\pi}{12} 

Buy to View
0.19mins
Q5b

Simplify the expression.

 \displaystyle 1 - 2\sin^2\frac{3\pi}{8} 

Buy to View
0.39mins
Q5c

Simplify the expression.

 \displaystyle \frac{2\tan \frac{\pi}{6}}{1 - \tan^2\frac{\pi}{6}} 

Buy to View
0.26mins
Q5d

Determine the values of \sin 2x, \cos 2x, and \tan 2x, given

\sin x =\dfrac{3}{5}, and x is acute.

Buy to View
2.00mins
Q6a

Determine the values of \sin 2x, \cos 2x, and \tan 2x, given

\cot x = - \dfrac{7}{24}, and x is obtuse.

Buy to View
2.25mins
Q6b

Determine the values of \sin 2x, \cos 2x, and \tan 2x, given

\cos x =\dfrac{12}{13}, and \frac{3\pi}{2} \leq x \leq 2\pi

Buy to View
1.58mins
Q6c

Determine whether each of the following is a trigonometric equation or a trigonometric identity.

 \displaystyle \tan 2x = \frac{2\sin x\cos x}{1 -2\sin^2x} 

Buy to View
1.27mins
Q7a

Determine whether each of the following is a trigonometric equation or a trigonometric identity.

 \displaystyle \sec^2 x - \tan^2x = \cos x 

Buy to View
0.36mins
Q7b

Determine whether each of the following is a trigonometric equation or a trigonometric identity.

 \displaystyle \csc^2x -\cot^2x = \sin^2x + \cos^2x 

Buy to View
0.26mins
Q7c

Determine whether each of the following is a trigonometric equation or a trigonometric identity.

 \displaystyle \tan^2x = 1 

Buy to View
0.25mins
Q7d

Prove that  \displaystyle \frac{1 - \sin^2x}{\cot^2x} = 1 -\cos^2x  is a trigonometric identity.

Buy to View
1.19mins
Q8

Prove that  \displaystyle \frac{2\sec^2x -2\tan^2 x}{\csc x} = \sin 2x\sec x  is a trigonometric identity.

Buy to View
1.48mins
Q9

Solve for when 0 \leq x \leq 2\pi

\frac{2}{\sin x} + 10 = 6

Buy to View
0.44mins
Q10a

Solve for when 0 \leq x \leq 2\pi

 \displaystyle -\frac{5\cot x}{2} + \frac{7}{3} = - \frac{1}{6} 

Buy to View
1.07mins
Q10b

Solve for when 0 \leq x \leq 2\pi

 \displaystyle 3 + 10 \sec x - 1 = -18 

Buy to View
0.48mins
Q10c

a) Solve the equation y^2 - 4 = 0.

b) Solve \csc^2x - 4 = 0 in the interval 0 \leq x \leq 2\pi

Buy to View
1.09mins
Q11

Solve the equation for x in the interval 0 \leq x \leq 2\pi

 \displaystyle 2\sin^2 x - \sin x - 1 =0 

Buy to View
0.46mins
Q12a

Solve the equation for x in the interval 0 \leq x \leq 2\pi

 \displaystyle \tan^2x \sin x - \frac{\sin x}{3} = 0 

Buy to View
1.01mins
Q12b

Solve the equation for x in the interval 0 \leq x \leq 2\pi

 \displaystyle \cos^2x + (\frac{1- \sqrt{2}}{2})\cos x - \frac{\sqrt{2}}{4} = 0 

Buy to View
1.32mins
Q12c

Solve the equation for x in the interval 0 \leq x \leq 2\pi

 \displaystyle 25 \tan^2x - 70\tan x = -49 

Buy to View
1.33mins
Q12d

Solve the equation \dfrac{1}{1 +\tan^2x} = -\cos x for x in the interval 0 \leq x \leq 2\pi

Buy to View
1.15mins
Q13