Week 17 – Precalc 11

This week in pre-calculus we started our unit on trigonometry. We learned about Sine Law, it’s an equation on how to find the sides and the angles in a triangle all put into one instead of having to use separate equations to solve. If we’re solving for a side of the triangle we’ll use the ratio \frac {a}{sinA} = \frac {b}{sinB} = \frac {c}{sinC} .

If we want to solve for the angle then we reciprocate the ratio and it’ll be \frac{sinA}{a} = \frac{sinB}{b} = \frac{sinC}{c} .

To solve for side “a” then we’ll use the first equation.

ex/ \frac{a}{sin73}= \frac{12}{sin44}

once we rearrange and cross multiply we’ll get

a= \frac{sin(73)-12}{sin44} = 16.52

 

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