Question

What does the trigonometry angle range -mula1" title="\pi \leq \alpha \leq \pi" alt="\pi \leq \alpha \leq \pi" align="absmiddle" class="latex-formula"> radians mean?

Answer 1

The  trigonometry angle range -π ≤ α ≤ π in radians means angle α is

• between -π radians and π radians or  
• -180° and 180°.

To answer the question, we need to know what a trigonometric angle range is

What is a trigonometric angle range?

A trigonometric angle range is the range of values which the trigonometric angle can have

Since we need to find the meaning of the  trigonometry angle range -π ≤ α ≤π.

We know that

• -π radians = -π × 180°/π = -180° and
• π radians = π × 180°/π = 180°.

Since α is in the range -π ≤ α ≤ π = -180° ≤ α ≤ 180°, this implies that the angle α is

• between -π radians and π radians or
• between -180° and 180°.

So, the  trigonometry angle range -π ≤ α ≤ π in radians means that angle α is

• between -π radians and π radians or
• between -180° and 180°.

Learn more about trigonometric angle range here:

brainly.com/question/27971632

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