If
θ
=
−
3
π
4
, then find exact values for the following:

sin
(
θ
)
equals

cos
(
θ
)
equals

tan
(
θ
)
equals

Step-by-step explanation:

The angle -3π/4 radians is a 3rd-quadrant angle, so the sine and cosine are both negative. The tangent is positive in that quadrant. The reference angle is the difference from -π, so is π/4.

  sin(π/4) = cos(π/4) = (√2)/2

The tangent is the ratio of sine to cosine. Since both are the same, the tangent is 1.

Comment on the angle

This angle is equivalent to -135° or +225°. The reference angle is 45°. Since you have memorized the short table of trig functions, you know the trig functions of this angle.

110698.56 square miles

step-by-step explanation:

multiply 3.8 by 102

387.6

multiply 2.8 by 102

285.6

multiply those two to get