Radians, exact values, compound and double angles, identities, solving equations, the wave function and the period of a graph. Test your knowledge with…
10 questions • Zestly
• Express $135^\circ$ in radians, in terms of $\pi$.
• What is the exact value of $\sin\left(\frac{\pi}{3}\right)$?
• Which expression is equivalent to the expansion of $\sin(A + B)$?
• Given that $\sin x = \frac{3}{5}$ and $x$ is an acute angle, what is the exact value of $\sin 2x$?
• Simplify the expression $\frac{1 - \cos^2 x}{\sin x}$, given that $\sin x \neq 0$.
• Solve $2\cos x^\circ + 1 = 0$ for $0 \leq x \leq 360$.
• Express $3\cos x^\circ + 4\sin x^\circ$ in the form $k\cos(x - a)^\circ$, where $k > 0$ and $0 \leq a \leq 360$. Give $a$ to one decimal…
• What are the maximum and minimum values of $y = 3\sin(2x) + 1$?
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