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Question 1

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

A

$\tan^2(x)$

B

None of the above.

C

1

D

$\sec^2(x)$

E

-1

Question 2

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

A

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

B

None of the above.

C

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

D

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

E

$2\tan(2x)$

Question 3

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

A

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

Hint:

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

B

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

Hint:

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

C

$1 + \cot^2(x)$

Hint:

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

D

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

E

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

Hint:

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

Question 4

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

A

None of these.

B

$5\sin(x + 37º)$

C

$5\cos(x-37º)$

D

$5\sin(x + 53º)$

E

$5\cos(x - 53º)$

Question 5

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

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

C

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

D

$\frac38\pi$ only

E

$67.5º$ only

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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.

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