Inverse Trigonometric Ratios
Understand and apply inverse trigonometric ratios (arcsin, arccos, arctan) to find missing angles in right-angled triangles.
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Inverse Trigonometric Ratios
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Read each question carefully and use your knowledge of inverse trigonometric ratios to solve for the missing angles. Round your answers to one decimal place.
1. To find a missing angle when you know the opposite and hypotenuse sides, you use the function.
2. If tan(θ) = 1, then θ = degrees.
3. Which inverse trigonometric ratio would you use to find angle A if you know the adjacent side and the hypotenuse?
arcsin
arccos
arctan
none of the above
4. In a right-angled triangle, the side opposite angle X is 8 cm and the hypotenuse is 10 cm. Find the measure of angle X.
5. A ladder leans against a wall, forming a 6-meter base from the wall. If the ladder is 10 meters long, what angle does the ladder make with the ground?
6. The inverse cosine function (arccos) is used to find an angle when the ratio of the opposite side to the hypotenuse is known.
True
False
7. A drone flies 150 meters horizontally and then climbs 80 meters vertically. What is the angle of elevation from its starting point to its final position?