+3 What is the exact value of the trigonometric expression? tan(-(2π/3))
__________ -sec(-π)
sin(7π/4)
State your answer in simplified radical form.
+128460 Assume this is
tan (-2pi/3)
_________ - sec (-pi) ??? .....if so, we have ....
sin (7pi/4)
-2pi/3 = -120° = (360 - 120)° = 240° = 60° in Q3 = tan (60) = √3
7pi/4 * 180/pi = 7 *(180/4) = 7 * 45 = 315° = 45° in Q4
So sin (-45°) = -√2/2
sec (-pi) = sec (pi) = -1
So we have
√3
_____ - (-1) =
√2/2
2√3
___ + 1 =
√2
2√3 * √2
_______ + 1 =
√2 * √2
2√6
___ + 1 =
2
√6 + 1
