Trigonometry
Inverse of Trigonometry
Complementary Angles
Word Problems
100
Calculate Cos C.
Cos C = 36/85
100
Given Cos C = 36/85
What is the measure of Angle C?
m<C = 65 Degrees
100
If Sin 26 = 0.44 and Cos 26 = 0.90
What is Sin 64 and Cos 64?
Sin 64 = 0.90 and Cos 64 = 0.44
100
A 12-foot metal guy wire is attached to a broken stop sign to secure its position until repairs can be made. Attached to a stake in the ground, the guy wire makes an angle of 51˚ with the ground. How far from the foot of the stop sign is the stake, to the nearest tenth of a foot?
AC = 12 x Cos 51 = 7.5'
200
What is Sin A?
Sin A = 36/85
200
Given Sin A = 36/85
What is the measure of angle A?
m<A = 25 Degrees
200
If Sin A = X/Y and Cos A = Z/Y
What is Sin B and Cos B?
Sin B = Z/Y and Cos B = X/Y
200
Height of the Kite = 100 x Sin 25
= 42.26 ft + 3 = 45 ft
300
What is Tan A?
Tan A = 36/77
300
Given Tan A = 0.5
What is the measure of Angle A to the nearest whole number?
The measure of angle A = 27 degrees
300
If sin A = ⅗ and Cos A = ⅘
what is Sin B and Cos B?
(A and B are complementary angles)
Sin B = 4/5 and Cos B = 3/5
300
The picture above shows the path that Puppy Liz is running. The electrical post is 40 feet tall. Puppy Liz usually starts at the bench post and runs until she gets to the fire hydrant, rests, and then she runs back to the bench. How far does Puppy Liz run to get to the fire hydrant?
SL of triangle 1 = 40 tan 34 = 26.9 ft
SL of triangle 2 = 40 tan 57 = 61.59 ft
Puppy Liz runs: 61.59 - 26.9 = 34.69 ft
400
What is the perimeter and area of the above figure?
X = 18 cos 42 = 13.4
Y = 18 Sin 42 = 12.0
Perimeter = 13.4 + 12 + 18 = 43.4
Area = (13.4 x 12)/2 = 80.55
400
Given Sin B = 3/5
What is the measure of angle B to the nearest whole number?
Angle B = 37 degrees
400
If sin 31 = S/T and cos 31 = V/T
what is Sin 59 and Cos 59?
Sin 59 = V/T
Cos 59 = S/T
400
z = 6