Trigonometry

Learning Target 03: I can state Heron's area formula. I can find the area of an oblique triangle using sines or Heron's area formula as relevant. Find the area of the triangle using whichever formula is relevant (sine-based or Heron's formula). One answer is "small" and the other is "big" 1. a6,b 12, c = 17 2. a 90, b = 52, C = 102°

Determine the variance and the standard deviation for these archery scores: 21, 28, 31, 26, 26, 30

a) Draw a sinusoidal function (not necessarily based on Sine), that has a(n): Equation of axis greater than 1 Amplitude that is greater than 2 Period, P, where 0 < P <n Phase shift of more than -2 O Determine 2 sinusoidal functions where the first function has a parent function of f(x) = sin(x) the second function has a parent function of f(x) = cos(x)

\text { : In the following diagram, angle } \theta \text { is in standard position. Find } \sin \theta, \cos \theta \text {, and } \tan \theta \text {. }

2. Peter arranges a $177 300 mortgage with his bank. He plans to repay the mortgage in equal monthlypayments over 25 years at 6.19% per year compounded semi-annually. a) Determine his monthly payment. b) How much interest will Peter pay over the life of this mortgage?

a) Choose a point in the 3rd quadrant, that will represent a point on the terminal arm of an angle, 0 in the standard position. Determine the measure of 0 in both radians and degrees. b) Calculate the value of 0 + 2. Determine the coordinates of the point on the new terminal arm.

Find the equation of the tangent line drwn for the function y = cos (2x) + cos(x) whne x = π /2

2. Solve each of the following trigonometric equations for 0 ≤x ≤ 2π

6. Solve the triangle below. Part I: Use the law of cosines to find the measure of angle B. ( Part II: Use the law of sines to find the measure of angle C. Part IlI: Use any method you like to find the measure of angle A. (

Learning Target AT2: I can verify a trigonometric identity. Verify each identify below. Begin with only one side and work to the other, as in class, the textbook, and the homework. All arguments must be 100% notationally correct, with equals signs along each line. Any omissions or errors on this element will result in an N grade. The derivation of the identity must use correct algebra throughout and result in a correct answer. 1. 2. sec a cot x + tan x 1 - 2 cos²0 sin cos = sin x = tan cot 0 Learning Target AT3: I can solve trigonometric equations giving all possible answers on a specified domain. Solve each of the following equations, providing the answers as requested. 1. Solve and give all solutions in the interval [0, 27) sin x 2 sin x cos x = 0 2. Solve and give all solutions in the interval [0, 27) cos x 1 = √3 sin x