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Solving Trigonometric Problems With Gary By: Lilly McCarthy
Let's Practice:*round to the nearest hundredth
The first step to solving triangles is to recognize which type of triangle is shown. This is a right triangle, because the corner angle is 90°. All triangle angles add up to 180°!
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The angles are listed below. These functions allow you to solve for a right triangle. You can use Sine, Cosine, Tangent, Cotangent, Secant, and Cosecant. The abbreviations are as follow, sin, cos, tan, cot, sec, and csc.
adjacent
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x°
hypotenuse
opposite
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Sin x°= opp/hypCos x° = adj/hypTan x°= opp/adjCot x° = adj/oppSec x°= hyp/adjCsc x° = hyp/opp
***You can use the inverse function of Sine, Cosine, and Tangent to find the length of the triangle's sides.
sin 28 °= x in / 8 in sin x°= 3.76 in
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8 in
x in
28°
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cos^-1 x°= 27ft / 35ft cos x°= 25.91°
hint... use the inverse functions to find the angle
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17 ft
x°
35 ft
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