University:
Felician University
Course:
MATH-231 | Geometry I
Academic year:

2024
Views:

78

Pages:

4
Author:

InterstellarInnovator

Key: Review 4.7-4.8 π/6 11π/12 3π/4 π/2 π/4 0 0 0 π/4 -3π/2 0.25 2π/3 -π/2 15π/8 -7π/85 1.7895 1.2278 1.9018 x/(1-x²) (13x-5)/(1-4x²) Word Problems 76.6 ft 1166 miles 1.166 miles 19.9 ft North 175.52 nm East 163.68 nm N 30.34° E 33.6 ft Inverse Trig Practice 4.7 Evaluate each of the following without a calculator. Be careful to get the correct quadrant when applicable. arcsin(-√(3)/2) = sin⁻¹(1) = cos⁻¹(-√(2)/2) = arccos θ = arctan(-√(3)/3) = tan⁻¹(0) = arcsin(2) cos(x) Use properties to help evaluate: * For test, know unit on page 311 tan(arctan(x)) = sin⁻¹(sin(5π/3)) = arccos(cos(7π/4)) = tan(tan⁻¹(-π/6)) = cos(cos⁻¹(.25)) = arccos(cos(-2π/3)) = sin⁻¹(sin(5π/2)) = sin(sin⁻¹(40)) = Use your calculator to evaluate: arcsin(-0.71) = arctan(2.8) cos(-0.325) = Evaluate using right triangles: cos(arcsin(5/13)) = sec(arctan(-3/5)) = Rewrite as an algebraic expression: (use right triangles again) cot(arccos(x)) = cos(arcsin(2x)) = For the following word problems, first draw a picture and then solve the problem. 1) A 100-foot line is attached to a kite. When the kite has pulled the line taut, the angle of elevation to the kite is approximately 50°. Approximate the height of the kite. 2) The height of a radio transmission tower is 70 meters, and it casts a shadow of length 30 meters. Find the angle of elevation. 3) An observer 2.5 miles from the launch pad of a space shuttle launch measures the angle of elevation to the base of the shuttle to be 25°. How high is the shuttle at that instant?