right triangle
unit circle
trig identities
trig laws
100
On a right triangle Angle A = 34.50.
Side b = 10.50
Solve for side b and c using your knowledge
side a = 7.22
side c= 12.74
100
sin(900)=???
sin(900)= 1
100
cosec(90° - A) is equal to
Sec A
100
sin θ
Opposite Side/Hypotenuse.
200
A ladder leans against the side of a house. the angle of elevation of the ladder is 690 when the bottom of the ladder is 16 feet from the side of the house. Find the length of the ladder.
The length of the ladder is 44.6 feet.
200
Identify the value of sin 30 degrees
1/2
200
sin x cos y + cos x sin y =
sin(x−y)
200
sec θ
= Hypotenuse/Adjacent Side
300
A kite flies at a height of 30 feet when 65 feet of the string is out. If the string is in a straight line, find the angle that it makes with the ground. Round to the nearest tenth.
The string makes an angle of approximately 27.50 with the ground.
300
Find the value of sec(225°) and tan(225°).
sec(225°)= root of−2
tan(225°) = 1
300
tan(A - B) =
(tanA−tanB)/(1+tanAtanB)
300
tan θ
Opposite Side/Adjacent Side.
400
From a point on level ground 125 feet from the base of the tower, the angle of elevation is 57.20. Approximate the height of the tower to the nearest foot.
The tower is approximately 194 feet high
400
Find the value of sin 30° + cos 30°
1/2+.86666=1.7
1/2+sqrt(3)/2=(1+sqrt(3))/2
400
Simplify cos2𝜃 tan2𝜃cos2θ tan2θ
= sin2𝜃
400
cosec θ
= Hypotenuse/Opposite Side.
500
You are taking your first air balloon ride. Your friend is standing on ground level 100 feet away. At one instant the, angle of elevation from the video camera to your face is 31.70. One minute later, the angle of elevation is 76.20. How far did you travel, to the nearest tenth of the foot, during that minute?
The balloon traveled 407.1 - 61.8 or approximately 345.3 feet during the one minute!!1
500
Using the unit circle, find the value of the cosine of an unspecified angle α, given that y= -sqrt(3)/2
cos(α)=150 degrees=2.6 rad
500
1 + cot2𝜃/ sec𝜃 =
cscθ cotθ
500
cot θ
= Adjacent Side/Opposite Side.