If the terminal ray of β lies in the third quadrant and the value of sin(β) is shown below. Determine cos(β) in the simplest form. Please show your calculations that lead to your answer. sin(B)=-√3/3

Step-by-step explanation:

It is given that lies in the third quadrant.

In 3rd quadrant, sine and cosine both are negative.

Also given that:

We know that identity between sine and cosine as:

Here,

Therefore, the identity can be written as:

Putting the value of :

But, it is given that is in 3rd quadrant. That means, value of cos will be negative.

Therefore, the correct answer is:

the probability that a bird is green (.30) is true

step-by-step explanation:

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