Trigonometry — Quiz 1

Questions in this quiz (6)

1. Simplify expressions: $$\sin(x + \frac{\pi}{2})$$

   • $$-\sin(x)$$
   • $$\cos(x)$$
   • $$\sin(x)$$
   • $$-\cos(x)$$

2. In a right triangle with 3 distinct angles, the sine of the smallest angle is $$\frac{3}{5}$$. What is the cosine of the median angle?

   • $$\frac{1}{2}$$
   • $$\frac{\sqrt{3}}{2}$$
   • $$\frac{4}{5}$$
   • $$\frac{3}{5}$$

3. Simplify the expression: $$\sin\left(\frac{\pi}{2} - x\right)$$

   • $$\cos(x)$$
   • $$-\sin(x)$$
   • $$-\cos(x)$$
   • $$\sin(x)$$

4. In right triangle XYZ, angle Y is a right angle and angle X has a sine of $$\frac{3}{5}$$. What is the value of $$\cos(Z)$$?

   • $$\frac{1}{2}$$
   • $$\frac{3}{5}$$
   • $$\frac{\sqrt{2}}{2}$$
   • $$\frac{2}{3}$$

5. Simplify the expression: $$\sin(x + \pi)$$

   • $$\sin(x)$$
   • $$-\cos(x)$$
   • $$\cos(x)$$
   • $$-\sin(x)$$

6. Which of the following is equivalent to $$(\tan^2\theta + 1)\cdot \cos^2\theta?$$

   • $$\cos^2\theta$$
   • $$\sec^2\theta$$
   • $$1$$
   • $$\sin^2\theta$$