Question

hello and thank you for helping me and this is a trigonometry question bit for the question has give exact value and it won't accept decimals as an answer and thank you for your time.

Answer 1

1) In this question let's calculate the sin(θ) and cos(θ)

Given that

`\begin{gathered} \text{If }\sin (\theta)=(5\pi)/(4) \\ \sin (\theta)\text{ }\Rightarrow\sin ((5\pi)/(4))\text{ }=-\frac{\sqrt[]{2}}{2} \\ \cos ((5\pi)/(4))=-\frac{\sqrt[]{2}}{2} \end{gathered}`

2) In this question, we're calculating the value of the sine and the cosine in radians.

We must remember that 5π/4 ⇒ to 225º, and that it's in the Quadrant III

If we subtract

225 -180 =45 So the sine of 5π/4 is -√2/2 and the cosine (5π/4 ) = -√2/2

2.3) The sign of the Quadrant

Since 225º is in Quadrant III both results are negative ones.