Section A-7: Trigonometry
Many examples in the calculus take place in the arena of trigonometry. The following examples illustrate some of the Maple tools that apply to such trigonometric calculations.
Use Maple to find the identities for sinx+y and cosx−y and check the results.
Two sides of a triangle have lengths a = 5 and b = 2 and the angle between them is C=52°. Use the Law of Sines and the Law of Cosines to find the other side c and the other two angles A and B opposite a and b, respectively.
For the equation 6 cos2x−cosx−2=0, find all solutions in the interval 0,2 π.
For the equation 2 sin2x+3 cosx=3, find all solutions in the interval 0,2 π.
For the equation 4 sinx+7 cosx=8, find all solutions in the interval 0,2 π.
Express cos4⁢x+4⁢cos2⁢x+3⁢ in terms of cosx.
What is the domain for the principal branch of sinx?
If fx is any one of the six elementary trig functions, examine the role of the parameters a,b,h,k in the transformation a fbx−h+k.
Obtain a Maple graph of the sine function where the argument is given in degrees, not radians.
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