Answer:
Yes, they are equal in the values (in radians):
π/4, 5π/4
If cos(x) and sin(x) are defined to you as nonnegative functions (in terms of lengths), then 3π/4 and 7π/4 are also included
Step-by-step explanation:
Remember that odd multiples of 45° are special angles, with the same sine and cosine values (you can prove this, for example, by considering a right triangle with an angle of 45° and hypotenuse with length 1, and finding the trigonometric ratios).
The radian measure of 45° corresponds to π/4, hence the odd multiples on the interval [0, 2π) are π/4, 3π/4, 5π/4, 7π/4.
If you define sin(x) and cos(x) using the cartesian coordinate system (via unit circle), then cos(3π/4)=-sin(3π/4) and cos(7π/4)=-sin(7π/4). In this case, only π/4 and 5π/4 are valid choices.
Answer:
Terry was charged for 4.5 hours of labor.
Step-by-step explanation:
50x + 150 = 375
Where x = hours
50x = 375 - 150
50x = 225
Divide both sides by 50 to isolate x
x = 4.5
The awnser is the simplified stystem is the arbitrary solution of the original system of equations
Answer:
20=5*-3+x or 20=-15+x or 35=x
Answer:
90deg
Step-by-step explanation:
If the angles are supplementary, that means mA + mB = 180*
we know that
mA = (2x + 8)deg
mB = (2x + 8)deg = mA
mA + mB = 180deg
mB + mB = 2mB = 180deg
mB = 90deg
Note, that we did not need to compute x even, because the angles were the same.
