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21 Cards in this Set
- Front
- Back
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Sin x = |
side opposite of angle x / hypotenuse of right triangle |
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Cos x= |
side adjacent of angle x / hypotenuse of right triangle |
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Tan x = |
side opposite of angle x / side adjacent of angle x |
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The ratios of the _________ of a right triangle are called _____________. |
sides.....trigonometric ratios |
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Acronym for trigonometric ratios |
SOH-CAH-TOA |
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Sine, cosine, and tangent take _______ and give you side _________ . While inverse trigonometric functions take ___________ and give you ___________. |
angles....side ratios......side ratios......angles |
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What is an inverse operation? |
An inverse operation is an operation the does the opposite of what a regular operator would do . For example; multiplication and division are inverses of each other; addition and subtraction. |
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When you see an object above you there is an ____________ between the horizontal and _____________ to the object. |
angle of elevation...... your line of sight |
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When you see an object below you there is an an _____________ between the horizontal and ____________ your line of sight with the object. |
angle of depression...... your line of sight |
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The sum of the interior angles in a right triangle add up to.. |
180 degrees |
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Similar Triangles |
If two angles in a triangle correspond exactly with two angles in another triangle those triangles are said to be similar. |
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The _________ of the corresponding __________ of similar triangles are _____________. |
ratio....side......equal |
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When two angles sum up 90 degrees... |
complementary angles |
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Sine and Cosine of Complementary Angles |
sin x = cos ( 90 - x) |
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30-60-90 Triangles |
The hypotenuse is twice as long as the shortest length. The longer leg, is the square root of 3 times, the shorter leg. |
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45-45-90 |
The hypotenuse is , the square root of 2 times longer than either leg. |
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Pythagorean Trig Identity |
cos ^2 x +sin^2 x =1 |
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Prove the Pythagorean Trig Identity |
See notes |
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Cosecant (csc) |
Reciprocal of the sine function. The ratio of the hypotenuse / the opposite side of a given angle. csc x = 1 / sin x |
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Secant ( sec) |
Reciprocal of cosine. It is the ratio of hypotenuse / adjacent side. sec x = 1 / cos x |
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Cotangent ( cot ) |
Reciprocal of tan. It is the ratio of adjacent / opposite side of an angle. cot x = 1 / tan x |
