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:
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Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
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Answer:
We get x=3 and y=21
The ordered pair will be: (3,21)
Step-by-step explanation:
We need to use the substitution method to solve the system of equations.
For substitution method we substitute the value of x or y from one equation to other.
Let:
Putting value of y from equation 2 into equation 1
So, we get value of x=3
Now, for finding value of y, We substitute the value of x
Find value of x from equation 2
Now, putting value of x in equation 1
So, we get value of y=21
So, We get x=3 and y=21
The ordered pair will be: (3,21)
Answer:
4
Step-by-step explanation:
when you multiply a number by itself, therefore you have to multiple 2twice
