Finding The Angle In Radians
1. In a circle with radius 12 cm, an arc of length 20 cm subtends a central angle of theta. Determine the measure of theta in radians.
Answer: 1.67 (Rounded to two decimals)
(theta in radians) x Radius = arclength
(theta in radians) x 12 = 20
theta in radians = 20/12
Unsure how to continue...
2. Solve: 7tan(x) = -3 0 <= x <= 2pi
Answer: 2.74, 5.88 (Rounded to two decimals)
tan(x) = -3/7
3. For the function f(x) = 3sin(bx) + d, where b and d are positive constants, determine an expression for the smallest positive value of x that produces the maximum value of f(x)
How and Why?