Trigonometric Ratios
Instruction Active
Analyzing Trigonometric Functions
What are the input and output values for determining
the sine of 60°?
input: 2.: output: 60°
60°
16
input: 60°; output: 3
30°
input: 60°; output:
83
input: youtput: 60°

Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?

Aclass consists of 55% boys and 45% girls. it is observed that 25% of the class are boys and scored an a on the test, and 35% of the class are girls and scored an a on the test. if a student is chosen at random and is found to be a girl, the probability that the student scored an ais

Write the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x - y = 7. t