3. Unit Circle

Test whether the point is on the unit circle by plugging it into the equation, $x^2+y^2=1$.

$\(\left\)(\(\frac{-\sqrt2}{2}\),\(\frac{-\sqrt2}{2}\]\right\))$

Without using a calculator, decide whether each function value is positive or negative. (Hint: Consider the radian measures of the quadrantal angles, and remember that π ≈ 3.14.)

tan 6.29

Find the approximate value of s, to four decimal places, in the interval [0, π/2] that makes each statement true.

sin s = 0.4924

Without using a calculator, decide whether each function value is positive or negative. (Hint: Consider the radian measures of the quadrantal angles, and remember that π ≈ 3.14.)

sin 5

Find each exact function value. See Example 2.

sec 23π/6

Use the formula v = r ω to find the value of the missing variable.

v = 9 m per sec , r = 5 m

Give the exact value of each expression. See Example 5. sin 30°

Find the approximate value of s, to four decimal places, in the interval [0, π/2] that makes each statement true.

tan s = 0.2126

Identify the quadrant that the given angle is located in.

$\(\frac{6\pi}{5}\)$ radians

Identify the quadrant that the given angle is located in.

$\(\frac{7\pi}{4}\)$ radians

In Exercises 31–38, find a cofunction with the same value as the given expression. tan 𝜋 9

Find the exact values of s in the given interval that satisfy the given condition.

[0, 2π) ; sin s = -√3/ 2

Without using a calculator, decide whether each function value is positive or negative. (Hint: Consider the radian measures of the quadrantal angles, and remember that π ≈ 3.14.)

sin ( ―1)

Use the formula v = r ω to find the value of the missing variable.

r = 12 m , ω = 2π/3 radians per sec

Use the formula v = r ω to find the value of the missing variable.

v = 12 m per sec, ω = 3π/2 radians per sec