# How to write a trigonometric ratio as a simplified fraction machine Please read our Privacy Policy. We use ratios to make comparisons between two things. When we express ratios in words, we use the word "to"--we say "the ratio of something to something else.

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How can we write the ratio of squares to circles, or 3 to 6? We could also write it using the word "to," as "3 to 6. Be sure you understand that these are all ways to write the same number.

Which way you choose will depend on the problem or the situation. To find an equal ratio, you can either multiply or divide each term in the ratio by the same number but not zero.

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For example, if we divide both terms in the ratio 3: Do you see that these ratios both represent the same comparison? Some other equal ratios are listed below. To find out if two ratios are equal, you can divide the first number by the second for each ratio. If the quotients are equal, then the ratios are equal.

Is the ratio 3: Divide both, and you discover that the quotients are not equal.

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Therefore, these two ratios are not equal. Some other equal ratios: You can also use decimals and percents to compare two quantities. Here is a chart showing the number of goals made by five basketball players from the free-throw line, out of shots taken. Each comparison of goals made to shots taken is expressed as a ratio, a decimal, and a percent. They are all equivalent, which means they are all different ways of saying the same thing. Which do you prefer to use?Mar 19,  · Simplify the ratio.

Type a fraction. to 10 is ____ to 10 = 96 = 24 25 = 18 42 = 3 7 Write the ratio as a fraction in lowest term. Write each trigonometric, ratio as a simplified fraction and as a decimal rounded to 10 6 the nearest hundredth.

4. sin L 5. cos L 6. tan M __3 5; 4__ 5; 4__ 3; Use a calculator to find each trigonometric ratio.

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Round to the nearest hundredth. 7. sin 33 8. cos 47 9. tan 81 Use a calculator and trigonometric ratios to find each . The first step in computing any trigonometric function is range reduction—reducing the given angle to a "reduced angle" inside a small range of angles, say 0 to π / 2, using the periodicity and symmetries of the trigonometric functions.

Trigonometric Ratios Use the figure for Exercises 1–6. Write each trigonometric ratio as a simplified fraction and as a decimal rounded to the nearest hundredth. Use special right triangles to write each trigonometric ratio as a simplified fraction.

Free trigonometric simplification calculator - Simplify trigonometric expressions to their simplest form step-by-step. Symbolab; Solutions Order of Operations Factors & Primes Fractions Long Arithmetic Decimals Exponents & Radicals Ratios & Proportions Percent Modulo Mean, Median & Mode.

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Ratio to Fraction Calculator