# Test: Trigonometric Functions I - Ambitious

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Question 1:   Compare these two angles expressed in radians: $\text{\hspace{0.17em}}\frac{\pi }{4}\text{\hspace{0.17em}}$ and $\text{\hspace{0.17em}}1$ .
$\frac{\pi }{4}=1$
$\frac{\pi }{4}>1$
$\frac{\pi }{4}<1$
$\frac{\pi }{4}\ge 1$
Question 2:   Solve the expression $\text{\hspace{0.17em}}sin0+tg\pi -cos2\pi$ .
$0$
$-1$
$1$
$-\frac{1}{2}$
Question 3:   Which of these functions can be equal to $\text{\hspace{0.17em}}\frac{\sqrt{6}}{2}\text{\hspace{0.17em}}$ :

3)
1) and 2)
1) and 3)
2)
Question 4:   Solve the expression $\text{\hspace{0.17em}}{\mathrm{sin}}^{2}\left(-30°\right)+{\mathrm{cos}}^{2}\left(-60°\right)$ .
$\frac{1}{2}$
$\frac{1+\sqrt{3}}{2}$
$\frac{\sqrt{3}-1}{2}$
$-\frac{1}{2}$
Question 5:   Compare two expressions: $\text{\hspace{0.17em}}sin20°\text{\hspace{0.17em}}$ and $\text{\hspace{0.17em}}sin21°$ .
$sin20°\le sin21°$
$sin20°
$sin20°=sin21°$
$sin20°>sin21°$
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