Answer:
Part A)
Part B)
Part C)
Step-by-step explanation:
Part A) Find
we know that
If two angles are complementary, then the value of sine of one angle is equal to the cosine of the other angle
In this problem
---> by complementary angles
so
Find the value of in the right triangle of the figure
---> opposite side divided by the hypotenuse
simplify
therefore
Part B) Find
we know that
If two angles are complementary, then the value of tangent of one angle is equal to the cotangent of the other angle
In this problem
---> by complementary angles
so
<em>Find the value of the length side adjacent to the angle alpha</em>
Applying the Pythagorean Theorem
Let
x ----> length side adjacent to angle alpha
simplify
Find the value of in the right triangle of the figure
---> opposite side divided by the adjacent side angle alpha
simplify
therefore
Part C) Find
we know that
If two angles are complementary, then the value of secant of one angle is equal to the cosecant of the other angle
In this problem
---> by complementary angles
so
Find the value of in the right triangle of the figure
Find the value of
---> adjacent side divided by the hypotenuse
simplify
therefore