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How do the values of trigonometric functions change as the angle increases on the unit circle in a counterclockwise direction?Question 4Answera.They depends on the specific function.b.They increase.c.They remain constant.d.They decrease.

Question

How do the values of trigonometric functions change as the angle increases on the unit circle in a counterclockwise direction?Question 4Answera.They depends on the specific function.b.They increase.c.They remain constant.d.They decrease.

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Solution

The values of trigonometric functions change as the angle increases on the unit circle in a counterclockwise direction in a specific pattern.

  1. Sine (sin): Starts at 0, increases to 1 at 90 degrees, decreases to 0 at 180 degrees, goes to -1 at 270 degrees, and returns to 0 at 360 degrees.

  2. Cosine (cos): Starts at 1, decreases to 0 at 90 degrees, goes to -1 at 180 degrees, returns to 0 at 270 degrees, and goes back to 1 at 360 degrees.

  3. Tangent (tan): Starts at 0, increases to positive infinity at 90 degrees, drops to negative infinity just after 90 degrees and increases back to 0 at 180 degrees. This pattern repeats every 180 degrees.

So, the correct answer is a. They depend on the specific function.

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