If tan theta is -1, we know immediately that theta is in either Quadrant II or Q IV. We need to focus on Q IV due to the restrictions on theta.
Because tan theta is -1, the ray representing theta makes a 45 degree angle with the horiz axis, and a 45 degree angle with the negative vert. axis. Thus the hypotenuse, by the Pythagorean Theorem, tells us that the hyp is sqrt(2).
Thus, the cosine of theta is adj / hyp, or +1 / sqrt(2), or [sqrt(2)]/2
The secant of theta is the reciprocal of that, and thus is
2 sqrt(2)
---------- * ------------ = sqrt(2) (answer)
sqrt(2) sqrt(2)
Answer:
15
Step-by-step explanation:
The given equation is
When we multiply we obtain the equations:
We add both equations to obtain:
Divide both sides by -7 to get:
Answer:
The solution is (4,250)
Step-by-step explanation:
This means that when a member of either gym (A or B) signs up for a four-month membership, they pay the same amount - $250. Hope this helps :)
