Answer:
7) An angle that measures 45° has a tangent of 1.
8) The sine and cosine ratios are equal.
9) The sine of a 30° angle is 0.5.
10) The cosine of a 30° angle is equal to the sine of a 60° angle.
Step-by-step explanation:
Question 7 explanation: In a right triangle, if one angle measures 45°, that means the non-hypotenuse sides are equivalent, so the tangent of a 45° angle is 1.
Question 8 explanation: The sine and cosine ratios of a 45° angle are always equal since the opposite and adjacent side of a right triangle will be the same length, and they both are divided by the hypotenuse.
Question 9 explanation: In a 30°, 60°, 90° right triangle, the side opposite to the 30° angle is always half the length of the hypotenuse, so the sine of a 30° angle is 0.5.
Question 10 explanation: The sine of a 60° angle is equal to the cosine of a 30° angle because the sine of an angle will always be equivalent to the cosine of its complementary angle, or the angle that results from 90° subtracted from that angle. So the cosine of a 30° angle will be equivalent to the sine of a 60° angle.
