Sunday, November 15, 2009

Devin's Reflection #

This week we took another deadly step further into trigonometry. We learned more ways to solve for angle of a triangle, and also how to solve for the sides of a triangle. We also learned some formulas and ways to solve for the area of a triangle. To find the area of a right triangle,

1. Be sure that the triangle is right
2. Solve for the sides of the triangle
3. Use the formula : bh/2

To find the measures of a right triangle, use SOH CAH TOA

Sine= opp side/hyp

Cosine= adj side/hyp

Tangent= opp side/adj side

To find the measures of non-right triangles, you can use multiple techniques.
If the triangle has a pair (the measure of an angle and corresponding side), use The Law of Sine

sinA/a=sinB/b=sinC/c

If the triangles has no pairs, then use
The Law of Cosine

c^2=a^2+b^2-2(a)(b)cos(theta)

To find the area of a non-right triangle use the formula:
1/2(leg)(leg)sin(theta)

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