Congratulations - you have completed C3 Trigonometry facts quiz.

You scored %%SCORE%% out of %%TOTAL%%.

Your performance has been rated as %%RATING%%

Your answers are highlighted below.

Question 1

If $\cot(2x) = -1$ and $0 \le x \lt 2\pi$, what is/are the possible value(s) of $x$?

A

$\frac38\pi$ and $\frac{-1}4\pi$

B

$\frac38\pi$ only

C

$\frac38\pi$ and $\frac78\pi$

D

$67.5º$ only

E

$\frac38\pi$, $\frac78\pi$, $\frac{11}8\pi$ and $\frac{15}8\pi$

Question 2

What of these is equivalent to $\csc(x)$?

A

$\frac{1}{\cos(x)}$

Hint:

No - that's $\sec(x)$

B

$\cos^{-1}(x)$

Hint:

No - that's $\arccos(x)$

C

$1 + \cot^2(x)$

Hint:

No - that's $\csc^2(x)$

D

$\frac{1}{\sin(x)}$

E

$\sin^{-1}(x)$

Hint:

No - that's $\arccos(x)$.

Question 3

Which of the following is $3\cos(x) + 4\sin(x)$ equivalent to?

A

$5\cos(x - 53º)$

B

$5\cos(x-37º)$

C

$5\sin(x + 37º)$

D

None of these.

E

$5\sin(x + 53º)$

Question 4

What is $\csc^2(x) - \cot^2(x)$ equivalent to?

A

1

B

$\sec^2(x)$

C

-1

D

$\tan^2(x)$

E

None of the above.

Question 5

What is the derivative of $\sec(2x)$ (with respect to $x$)?

A

None of the above.

B

$2\sec(2x)\tan(2x)$

C

$2\tan(2x)$

D

$\frac{1}{2}\tan^2(2x)$

E

$\frac{1}{2}\sec(2x)\tan(2x)$

Once you are finished, click the button below. Any items you have not completed will be marked incorrect.
Get Results

There are 5 questions to complete.

←

List

→

Return

Shaded items are complete.

1

2

3

4

5

End

Return

You have completed

questions

question

Your score is

Correct

Wrong

Partial-Credit

You have not finished your quiz. If you leave this page, your progress will be lost.

Correct Answer

You Selected

Not Attempted

Final Score on Quiz

Attempted Questions Correct

Attempted Questions Wrong

Questions Not Attempted

Total Questions on Quiz

Question Details

Results

Date

Score

Hint

Time allowed

minutes

seconds

Time used

Answer Choice(s) Selected

Question Text

All done

Need more practice!

Keep trying!

Not bad!

Good work!

Perfect!

Colin

Colin is a Weymouth maths tutor, author of several Maths For Dummies books and A-level maths guides. He started Flying Colours Maths in 2008.
He lives with an espresso pot and nothing to prove.

## MathbloggingAll

C3 Trigonometry quiz http://t.co/YgPLuKcDfi