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:
B. Function 2
Step-by-step explanation:
Line P gradient is
Gradient = rise/run
= 1/4
Negative slope so gradient is - 1/4
Out of all the gradient, the lowest value has to be function 2 or line p & not 1/4r-5 because when r is 1 we get a gradient of 1.
-1/4xr - 5
-1/4x1 - 5
-1/4-5
-1/-1 = 1
Plus, 1 is greater than - 1/4 or - 0.25.
Answer:
B. 1×3
Step-by-step explanation:
Given the first matrix as [ 4 -1 0] this is 1×3 (row by column)
The second matrix is [2 1 0 ] which is a 3×3 matrix
[-3 -7 2 ]
[1 -5 2]
Hence the answer matrix will be;
[1×3 ] *[3×3]----------------------cancel the shaded numbers to remain with
[1×3]
Answer:
58 and 12
Step-by-step explanation:
CHECK:
58 + 12 = 70
70 - 58 = 12
NOW GO LISTEN TO ALEC BENJAMINS NEW SONG, THE WAY YOU FELT