Math Problem Statement

Work out the value of A and the value of B. Give each of your answers to 2 decimal places. The function machine applies the cosine function to the input.

Solution

From the given image, the task is to calculate two unknowns, AA and BB, based on a trigonometric function machine that uses the cosine function. Here's the breakdown:

  1. First input: xx results in the output cos(x)\cos(x).
  2. Second input: 1717^\circ results in the output AA, implying A=cos(17)A = \cos(17^\circ).
  3. Third input: BB results in cos(B)=0.55\cos(B) = 0.55, so B=cos1(0.55)B = \cos^{-1}(0.55).

Solution

  1. Value of AA: [

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Cosine Function
Inverse Cosine

Formulas

A = cos(17°)
B = cos⁻¹(0.55)

Theorems

Properties of the Cosine Function
Inverse Trigonometric Functions

Suitable Grade Level

Grades 9-11