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How To Find The Exact Value Of A Trigonometric Expression

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Trigonometric Graphs
Lessons On Trigonometry
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The following diagram shows how to use the CAST rule to help u.s. see which quadrants the trig ratios are positive. Curlicue down the folio for more examples and solutions.

The Cast Rule

How to find the exact trigonometric values: sin, cos, tan?

  1. Depict the angle, look for the reference angle.
  2. Utilize special triangles or the unit circle.
  3. Check the quadrant to make up one's mind the sign (+ or -).

Trigonometry - Solving exact values of sin, cos, tan
Computing exact values of sin, cos, tan without a estimator.

Examples:

  1. Calculate the verbal value of cos (-π/ii)
  2. Calculate the exact value of sin (π/4)
  3. Calculate the verbal value of sin (π/6)
  4. Calculate the exact value of sin (5π/3)
  5. Calculate the exact value of cos (3π/4)
  6. Calculate the verbal value of tan 210°
  • Prove Video Lesson

Notice verbal trig values with Cast rule
How to use the trig. special triangles and CAST dominion to determine the ratios associated with various angles?

Example:
Find the value of tan 314°
Discover the value of cos 330°

Find Exact Values of Trig Functions
How to use the unit of measurement circumvolve to observe verbal values of trigonometric functions?

Example:
Evaluate tan (-121π/4)
Evaluate sec (29π/6)


Try the costless Mathway calculator and problem solver below to practice various math topics. Endeavor the given examples, or type in your own problem and cheque your answer with the step-past-step explanations.
Mathway Calculator Widget


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