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4.2 Trig functions of acute angles.notebook
November 30, 2015
4.2 Trigonometric Functions of Acute Angles
SPECIAL TRIANGLES
45o­ 45o­ 90o triangle
450
450
sin 450=
csc 450=
cos 450=
sec 450=
tan 450=
cot 450=
4.2 Trig functions of acute angles.notebook
November 30, 2015
30o­ 60o­ 90o triangle
600
300
sin 600=
csc 300=
cos 600=
sec 300=
tan 600=
cot 300=
4.2 Trig functions of acute angles.notebook
November 30, 2015
Ex.1 Let θ be an acute angle in a right triangle, such that cos θ = 7/8. Find the other 5 trigonometric ratios.
4.2 Trig functions of acute angles.notebook
Using the calculator:
tan (30o) = tan­1(30)=
Make sure that your calculator is in the CORRECT mode.
NOTE tan­1x is NOT the same as 1/tanx
Change mode to work in radians.
Without a calculator solve: 1) sin(π/6)=
2) cosθ=1/2
November 30, 2015
4.2 Trig functions of acute angles.notebook
November 30, 2015
Ex.2 A right triangle has a hypotenuse of 4 inches and 32o angle. Find the measures of all angles and the lengths of all three sides.
4.2 Trig functions of acute angles.notebook
November 30, 2015
Ex.3 From a point 350ft away from the base of a tall building the angle of elevation to the top of the building is 63o. Find the height of the building.
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