Take the sine (in degrees) of (10x2) & then (80x2). What do you notice? Take the...

Take the sine (in degrees) of (10x2) & then (80x2). What do you notice? Take the sine of (30x2) & then (60x2). What does this tell you about the range obtained for the second pair of angles. Draw a diagram to demonstrate.

please answer all parts of question including diagram.

Solutions

Expert Solution

and

We can clearly see that the values of sin20 and sin160 are exactly same.

Again

and

Clearly we can see that again the values of sin60 and 120 are exactly same.

This tells us that the values of sign in second quadrant are positive and also

The diagram to demonstrate this phenomena is shown below:-

The graph of has many interesting symmetries.

The model employing the unit circle helps to elucidate these. The sine of the angle θθ is represented by the y-value of the point P on the unit circle. Since , we can mark two equal intervals on the above sine graph.

genius_generous answered 1 year ago

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