Instructions
Complete the following questions related to trigonometry. Show all of your workings for full marks. Good luck!
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1. Solve for x in the following equation:
sin(x) = 0.5, where 0° ≤ x < 360°
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2. Find the value of cos(60°).
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3. In a right-angled triangle, one angle is 30° and the opposite side is 5 cm. What is the length of the hypotenuse?
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4. If tan(θ) = 3/4, find sin(θ) and cos(θ) using the Pythagorean identity.
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5. Calculate the area of a triangle when two sides are 7 cm and 10 cm and the included angle is 45°.
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6. A building casts a shadow of 8 meters when the angle of elevation of the sun is 30°. How tall is the building?
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7. Convert 135° from degrees to radians.
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8. Plot the following points on a trigonometric graph:
y = sin(x) for x from 0° to 360°.