Trigonometry — Quiz 2

Questions in this quiz (5)

1. Consider triangle ABC, right-angled at point $$C$$, with the following information:$$AB = 29$$ units,$$BC = 21$$ units,and angle $$\angle ABC = \theta$$.Determine the values of: $$\cos^2 \theta - \sin^2 \theta$$

   • $$\frac{41}{841}$$
   • $$1$$
   • $$20$$
   • $$\frac{21}{29}$$

2. In $$\triangle ABC$$, right-angled at $$B$$, we are given:$$AB = 24 \ \text{cm}$$$$BC = 7 \ \text{cm}$$Determine: $$\sin A$$

   • $$\frac{7}{25}$$
   • $$\frac{24}{25}$$
   • $$\frac{1}{25}$$
   • $$\frac{18}{25}$$

3. If $$\sin A = \frac{3}{4}$$, calculate $$\tan A$$.

   • $$\frac{4\sqrt{7}}{7}$$
   • $$\frac{\sqrt{7}}{3}$$
   • $$\frac{\sqrt{7}}{4}$$
   • $$\frac{3\sqrt{7}}{7}$$

4. Express $$\sec A$$ in term of $$\sin A$$.

   • $$\frac{1}{\sin A}$$
   • $$\frac{1}{\sqrt{1 - \sin^2 A}}$$
   • $$\frac{1}{1 - \sin^2 A}$$
   • $$\frac{1}{1 - \sin A}$$

5. Find the value of the given expression:$$\frac{\cos(90^\circ - A)}{\sin A} + \frac{\sin A}{\cos(90^\circ - A)} \quad (A \ne 0)$$

   • 0
   • 1
   • 2
   • $$\sin A$$