Question

Use the sign of the sine and cosine functions to find the quadrant in which the terminal point determined by t lies.When sin(t)>0 and cos(t)<0 the angle terminates in quadrant Answer.When sin(t)<0 and cos(t)>0 the angle terminates in quadrant Answer.

Answer 1

`\begin{gathered} a)\text{ Quadrant \lparen II\rparen} \\ b)\text{ Quadrant \lparen IV\rparen} \end{gathered}`

Step-by-step explanation:

Here, we want to get the quadrants in which the angle terminates

a)From the question, sin (t) > 0 and cos(t) < 0

What this means is that sin (t) is positive and cos (t) is negative

This can happen in quadrant ii

b) For the second question, sin (t) < 0 and cos (t) > 0

This means the quadrant in which sin (t) is ngative and cos (t) is positive. We can see this happen in quadrant (IV)