Trigonometric Functions Flashcards
(6 cards)
How do you find angle in radians if arc length and radius is given?
θ = L/r
Area of sector in radians?
1/2 * r^2 θ
A chord of 9cm is constructed in a circle with a radius of 7cm.
What is the area of the minor segment cut off by the chord?
Leave your answer to 1 decimal place.
10.1cm^2
A ships sits at point A which is at a bearing of 150degreesT from the base of a lighthouse. The angle of elevation to the top of the lighthouse is 30 degrees and the lighthouse is 2/root3 tall. The ship travels in a perfect circular arc to point B which is at a bearing of 210degreesT with an angle of elevation 30degrees.
How much shorter would the boat trip be if the boat went straight from point A to B?
Leave your answer in kilometers, correct to two decimal places.
0.09km
cosec^2 θ =
1 + cot^2 θ
sec^2 θ =
1+ tan^2 θ
