Chapter 4 Trigonometric Functions
Chapter 4 Trigonometric Functions
Chapter 4 Trigonometric Functions
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<strong>Trigonometric</strong> <strong>Functions</strong><br />
7.<br />
side opposite 14<br />
tanθ = =<br />
side adjacent 10<br />
Use a calculator in degree mode to find θ .<br />
Many Scientific Calculators<br />
Many Graphing Calculators<br />
−1<br />
TAN ( 14 10 ) ENTER<br />
÷ TAN ( 14 ÷ 10 ) ENTER<br />
The display should show approximately 54. Thus, the angle of elevation of the sun is approximately 54°.<br />
Exercise Set 4.3<br />
1.<br />
2.<br />
c<br />
= 9 + 12 = 225<br />
2 2 2<br />
c = 225 = 15<br />
opposite 9 3<br />
sinθ<br />
= = =<br />
hypotenuse 15 5<br />
adjacent 12 4<br />
cosθ<br />
= = =<br />
hypotenuse 15 5<br />
opposite 9 3<br />
tanθ<br />
= = =<br />
adjacent 12 4<br />
hypotenuse 15 5<br />
cscθ<br />
= = =<br />
opposite 9 3<br />
hypotenuse 15 5<br />
secθ<br />
= = =<br />
adjacent 12 4<br />
adjacent 12 4<br />
cotθ<br />
= = =<br />
opposite 9 3<br />
c<br />
= 6 + 8 = 100<br />
2 2 2<br />
c = 100 = 10<br />
opposite 6 3<br />
sinθ<br />
= = =<br />
hypotenuse 10 5<br />
adjacent 8 4<br />
cosθ<br />
= = =<br />
hypotenuse 10 5<br />
opposite 6 3<br />
tanθ<br />
= = =<br />
adjacent 8 4<br />
hypotenuse 10 5<br />
cscθ<br />
= = =<br />
opposite 6 3<br />
hypotenuse 10 5<br />
secθ<br />
= = =<br />
adjacent 8 4<br />
adjacent 8 4<br />
cotθ<br />
= = =<br />
opposite 6 3<br />
508<br />
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