Chapter 7 Trig notes
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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Law of Sines | -Used to solve non-rt triangles -To find sides: a/sinA=b/sinB=c/sinC -To find Angles: sinA/a=sinB/b=sinC/c
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LoS: The Ambiguous Case (Don't make an A.S.S of your self) | Only Applies to Angle Side Side case -Possible no solution, 2 solutions, or 1 solution. -To determine: Solve triangle ABC, find < prime (<') of smallest angle. -Angle prime= supplement of <. -If <A + <B + <' is = to 180 then triangle has two solutions.
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Law of Cosines Formulas | Given 1 side: a^2=b^2+c^2-2bc(cosA) *b^2=a^2+c^2-2ac(cosB) *c^2=a^2+b^2-2ab(cosC)
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Area of Triangle (SAS & Area=S) | S=1/2bc(sinA) S=1/2ac(sinB) S=1/2ab(sinC)
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Area of Triangle (AAS or ASA & Area=S) | S=a^2sinBsinC/2sinA S=b^2sinAsinC/2sinB S=c^2sinAsinB/2sinC
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Area of Triangle (SSS & Area=S) | S=√s(s-a)(s-b)(s-c) where s=a+b+c/2
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Vector Addition & Subtraction | Vector U+V=< ux+uy,vx+vy> Vector U-V=< ux-uy,vx-vy>
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Scalar Multiplication | If, Vector U=< ux,uy> and C=scalar (any real #) then, C(U)=C< ux,uy> or < C(ux),C(uy)> -Simply Mult. the cords by the scalar
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Magnitude of Vector | lCU + CVl=√a^2+b^2
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Dot Product | U•V=ux(uy)+uy(vy)
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Cosine Theorem | U•V=lUllVlcosθ also, cosθ=U•V/lUllVl
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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