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