A. Use this diagram of a right triangle to derive and prove the Pythagorean Identity, based on sin 0 and cos . Start with what you know about the relationship among a (adjacent side), o (opposite side), and h (hypotenuse). Using the diagram
and the labeled components, define sine and cosine. Incorporate these definitions in your equation. In your response,
include all steps and calculations.
h
O
a
B. With respect to e, the adjacent side of the triangle has a length of 6 cm and the opposite side has a length of 3 cm.
Find the value of the hypotenuse h. Then, use these values to confirm the Pythagorean Identity for this triangle.

The train station clock runs too fast and gains 5 minutes every 10 days. how many minutes and seconds will it have gained at the end of 9 days?

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

What is the area of the triangle 10 13 12