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:
32.5cm
Step-by-step explanation:
Using the formula A=h_b*b/2
We get 5*13/2=32.5
Line FE because the radius is from one point of the circumference of the circle to the center of the circle and that is the only option
Answer:
-2/3x + y = -7
Step-by-step explanation:
So, y = 2/3x - 7 is the slope-intercept equation. Now, we need to turn it into the standard equation of a slope.
Standard equation --> Ax + By = C
y = 2/3x - 7
-2/3x -2/3x
----------------------
-2/3x + y = -7 --> this is your equation in standard slope form.
