soln: From the equation different values of y = sin3x:

x y=sin3x
0
10°\(\frac{π}{18}\) \(\frac{1}{2}\)(=0.5)
20°=\(\frac{π}{9}\) \(\frac{\sqrt{3}}{2}\)(=0.87)
30°=\(\frac{π}{6}\) 1
40°=\(\frac{2π}{9}\) \(\frac{\sqrt{3}}{2}\)(=0.87)
50°=\(\frac{\sqrt{5π}}{18}\) \(\frac{1}{2}\)(=0.5)
60°=\(\frac{π}{3}\) 0
70°=\(\frac{7π}{18}\) -\(\frac{1}{2}\)(=-0.5)
80°=\(\frac{4π}{9}\) -\(\frac{\sqrt{3}}{2}\)=-0.87
100°=\(\frac{5π}{9}\) -1
110°=\(\frac{11π}{18}\) -\(\frac{1}{2}\)=-0.50
120°=\(\frac{2π}{3}\) 0

150°\(\frac{5π}{6}\)

1
180°=π 0

graph of above table:

soln; Different values of y = sin2θ

θ y=sin2θ

30°\(\frac{π}{6}\)

60°

90°=\(\frac{π}{2}\)

120°=\(\frac{2π}{3}\)

150°=\(\frac{5π}{6}\)

180°=π

0

\(\begin{pmatrix} 1 \\ 2 \\ \end{pmatrix}\)2=\(\frac{1}{4}\)(=0.25)

\(\frac{\sqrt{3}}{2}\)2(=0.75)

1

\(\frac{\sqrt{3}}{2}\)2=0.75

\(\begin{pmatrix} 1 \\ 2 \\ \end{pmatrix}\)2=\(\frac{1}{4}\)=0.25

0=0

The graph o f the above table:

soln: Different values of y = cos2x

θ y=cos2x

0

30°=\(\frac{π}{6}\)

60°=\(\frac{π}{3}\)

90°=\(\frac{π}{2}\)

120°=\(\frac{2π}{3}\)

150°=\(\frac{5π}{6}\)

180°=π

0

\(\frac{1}{2}\)=0.5

\(\frac{-1}{2}\)=-0.5

-1

\(\begin{pmatrix} -1 \\ 2 \\ \end{pmatrix}\)=-0.5

\(\frac{1}{2}\)=0.5

1

The graph of above table:

Soln: Different values of y = cosθ - sinθ

θ

y=cosθ-sinθ

30°=\(\frac{π}{6}\)

60°=\(\frac{π}{3}\)

90°=\(\frac{π}{2}\)

120°=\(\frac{2π}{3}\)

150°=\(\frac{5π}{6}\)

180°=\(\frac{π}{2}\)

1

\(\frac{\sqrt{3}}{2}\)-\(\frac{1}{2}\)=0.87-0.5=0.37

\(\frac{1}{2}\)-\(\frac{\sqrt{3}}{2}\)=0.5-0.87=-0.37

0-1=-1

-\(\frac{1}{2}\)-\(\frac{\sqrt{3}}{2}\) = -0.5-0.87=-1.37

-\(\frac{\sqrt{3}}{2}\)-\(\frac{1}{2}\)=-0.87-0.5=-1.37

-1-0=1

The graph of above table:

soln: Different values of y = 2sinθ

θ y=2sinθ

30°=\(\frac{π}{6}\)

60°=\(\frac{π}{3}\)

90°=\(\frac{π}{2}\)

120°=\(\frac{2π}{3}\)

150°=\(\frac{5π}{6}\)

180°=\(\frac{π}{2}\)

0

1

\(\sqrt{3}\)=1.73

2

\(\sqrt{3}\)=1.73

1

0

The graph of the above table:

soln: Different values of y = tan2θ

θ

y=tan2θ

30°=\(\frac{π}{6}\)

60°=\(\frac{π}{3}\)

90°=\(\frac{π}{2}\)

120°=\(\frac{2π}{3}\)

150°=\(\frac{5π}{6}\)

180°=π

0

\(\sqrt{3}\)=1.73

-\(\sqrt{3}\)=-1.73

0

\(\sqrt{3}\)=1.73

-\(\sqrt{3}\)=-1.73

0

The graph of above table:

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soln: Different values of y = tan\(\frac{3x}{2}\)

θ y=tan\(\frac{3x}{2}\)

30°=\(\frac{π}{6}\)

60°=\(\frac{π}{3}\)

90°=\(\frac{π}{2}\)

120°=\(\frac{2π}{3}\)

150°=\(\frac{5π}{6}\)

180°=π

0

1

-1

0

1

the grape of above table :

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