Question

we say anticlockwise as positive and clock wise as negative but why dont we say time as in negative form based on trigonometry​

Answer 1

Step-by-step explanation:

It's because clockwise angles are taken to be negative while counterclockwise angles are positive. Thus to define the functions, we work on positive angles, hence counterclockwise.

You may ask, why are counterclockwise angles positive and not the other way round?

The answer lies in our choice of complex plane.

Our choice while defining complex plane was-

We picked x-axis to be real and y-axis to be imaginary

We chose Positive real part in the right half, positive imaginary part in the upper half

As a result, multiplication by eiθ rotates the complex plane by the angle θ counterclockwise.

So, to avoid negative signs in our problems, we say that multiplication by eiθ rotates the plane by angle θ, not −θ, in other words, we adopt the counterclockwise direction as positive.

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Answer 2

Step-by-step explanation:

See the attachment...

I hope it helps you... :)