Math  /  Trigonometry

QuestionThe Cosine Function Quick Check
Cosine is established as a rotation of a ray formed initially on which axis? (1 point) the negative yy-axis the negative xx-axis the positive xx-axis the positive yy-axis nit 13, Lesson 2: Progressive Era and American Empire Test 1 19: A Pythagorean Identity p 28{ }^{2} 8 8

Studdy Solution

STEP 1

What is this asking? On which axis does the initial ray for the cosine function start before it rotates? Watch out! Don't mix up cosine with sine!

STEP 2

1. Visualize the Unit Circle
2. Define Initial Ray Position

STEP 3

Imagine a circle with a **radius of 1** centered at the origin of a coordinate plane.
This is our **unit circle**!
It's like a playground for angles and trigonometric functions.

STEP 4

Now, picture a ray starting from the center of the circle and pointing towards the **positive** xx-axis.
This is our **initial ray**, our starting point for measuring angles.

STEP 5

The cosine function tells us the xx-coordinate of the point where the ray intersects the unit circle after rotating by a certain angle.

STEP 6

Since our **initial ray** starts on the **positive** xx-axis, that's where we begin measuring the rotation for the cosine function.

STEP 7

The initial ray for the cosine function is formed on the **positive** xx-axis.

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