Table of Contents
What is a exact value?
Exact value is where you cannot estimate the value you must be precise, eg; you can’t estimate something as being around about 5 centimetres; no you need an exact value such as 5.62.
What does exact value mean?
How do you find COS 390 without a calculator?
The value of cos 390° is equal to the x-coordinate (0.866). ∴ cos 390° = 0.866.
How do you find COS 120 without a calculator?
The value of cos 120 degrees can be calculated by constructing an angle of 120° with the x-axis, and then finding the coordinates of the corresponding point (-0.5, 0.866) on the unit circle. The value of cos 120° is equal to the x-coordinate (-0.5). ∴ cos 120° = -0.5.
When to use the table of trig functions?
You can use this table of values for trig functions when solving problems, sketching graphs, or doing any number of computations involving trig. The values here are all rounded to three decimal places.
How to find the exact values of trigonometry?
Exact Values of Trigonometry Exact Values of Trigonometry You will need to have covered Pythagoras’ Theorem, SOH CAH TOA, sine/cosine rules and rationalising denominators before this lesson. Includes values of sine, cosine and tangent at 0, 30, 45, 60, 90, 180, 270 and 360 degrees, and beyond.
When to use exact constants for trigonometric expressions?
The primary solution angles on the unit circle are at multiples of 30 and 45 degrees. Exact constant expressions for trigonometric expressions are sometimes useful, mainly for simplifying solutions into radical forms which allow further simplification.
How are the trigonometric ratios of a triangle defined?
The Trigonometric Ratios. The six trigonometric ratios are defined in the following way based on this right triangle and the angle θ adj. = adjacent side to angle θ opp. = opposite side to angle θ hyp. = hypotenuse of the right triangle. SOH CAH TOA Æ sinθ= opp. hyp. cosθ= adj. hyp. tanθ= opp. adj.