4, ${\tan }^{-1}\frac{1}{4}$

5, ${\tan }^{-1}\frac{1}{5}$

5, ${\tan }^{-1}\frac{3}{4}$

5, ${\tan }^{-1}\frac{1}{4}$

3, ${\tan }^{-1}\frac{3}{4}$

4(x+y+z)

3(x+y+z)

4(x³+y³+z³)

4x²y²z²

None

1/100

7/100

14/100

21/10

21/100

${\log }_{\mathrm{x}}\mathrm{x}$

ln(kx)

ln(k + x)

${\mathrm{a}}^{\mathrm{k}}$

${\mathrm{e}}^{\mathrm{k}}$

2

8

4.

1

None

1

$\frac{\mathrm{\pi }}{4}$

$\frac{\mathrm{\pi }}{2}$

0

-1

$\mathrm{\pi }/2 - 2\mathrm{\alpha }$

$\mathrm{\pi } - 2\mathrm{\alpha }$

$\mathrm{\pi } - \mathrm{\alpha }$

${\cos }^{-1} \left(\sin \alpha \cos \alpha \right)$

None

$\frac{\mathrm{n\pi }}{2}$

$\frac{(\mathrm{n} + 1)\mathrm{\pi }}{2}$

$\frac{(2\mathrm{n} + 1)\mathrm{\pi }}{2}$

$2n\mathrm{\pi } + \frac{\mathrm{\pi }}{2}$

None

π

4π

4π/3

π/4

None

k = 0 or k = 4

k = 4 or k = 3

k = 3

k = 0 or k = 3

None

$\frac{1}{2}(1-\sin 2x)$

$(1-\sin 2x)$

$\frac{1}{2}(1-\cos 2x)$

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

$(1-\cos 2\mathrm{x})$

π/2

π/4

1/4

1/2

1

4, 2

16, 4

16, 2

2, 16

4, 16

$\frac{\sqrt{13}}{3}$

$\frac{13}{\sqrt{3}}$

$\frac{3}{\sqrt{3}}$

$\pm \sqrt{13}$

$\pm \sqrt{3}$

30 m/s

20 m/s

40 m/s

50 m/s

None

30 m

39 m

45 m

20 m

None

15 m/min

12 m/min

16 m/min

14 m/min

13 m/min

x + a = 0

x - a = 0

x = 0

x + y = a

None

$\frac{1}{27}$

$\frac{2}{27}$

$\frac{4}{27}$

$\frac{1}{8}$

None

$\frac{\mathrm{\pi }}{3}$

$\frac{\mathrm{\pi }}{6}$

$\frac{\mathrm{\pi }}{4}$

$\frac{\mathrm{\pi }}{2}$

None