Math104 Precalculus Right Triangle Trigonometry Notes T4.3
I. Trigonometric
Functions
|
Trig Function |
How to find it |
|
sin θ |
|
|
cos θ |
|
|
tan θ |
|
|
cot θ |
|
|
sec θ |
|
|
csc θ |
|
A
ex#1 Find the
values of all trigonometric functions of angle A given the following diagram.
sin A = cos A = tan A = cot A = sec A = csc A =
ex#2 In right triangle ABC, let a, b, and c represent the lengths of the sides opposite angles A, B, and C,
respectively. Let angle C be the right angle. Draw the triangle, label the sides and angles, and find
sin B = cos B = tan B = cot B = sec B = csc B = sin A = cos A = tan A = cot A = sec A = csc A =
the
trigonometric functions of A and B if a = 1 meters and c = 3 meters
Math104 Precalculus Notes
T4.3 page
2
ex#4 Use a calculator to find θ to the nearest degree when cos θ = 0.8771
ex#5 Use a calculator to find θ in radians rounded to the nearest three decimal
places when sin θ = 0.5117.
_____________________________________________________________________________________
II. Angle
of Elevation & Depression
ex#3 A building that is 21 meters tall casts a shadow 25 meters long. Find the angle of elevation of the
sun to the nearest degree.
=
=