Answer:
cos(theta+2π) and -cos(-theta)
Step-by-step explanation:
theta plus 2π have the same cosine output as theta on a graph.
the negative cosine of negative theta is equal to the positive cosine of positive theta.
Answer:
Step-by-step explanation:
The area of the shaded region can be calculated as the area of the semicircle less the area of the right triangle.
The area of the right triangle can be calculated as:
Where LM and MN have the same length because the internal angles are L=45°, M=90°, and N=45°. So the area is:
The diameter of the circle can be calculated using the Pythagorean theorem as:
So, the radius is
Finally, the area of the semicircle is:
So, the area of the shaded region is:
6 + (2 - 3 (4) )+1 / (5) (2) - 4 = -1 /2
<u>Step-by-step explanation:</u>
6 + (2 - 3 (4) )+1 / (5) (2) - 4
Using the BODMAS rule, we can simplify the expression in the following way, like, we have to do the operation inside the brackets first, then division, multiplication, addition and then subtraction.
= 6 + (2 - 3 (4) )+1 / (5) (2) - 4 [operation inside the brackets]
= 6 + (2 - 12) )+1 / (5) (2) - 4
= 6 + (-10) )+1 / (10) - 4
= 6 + 1 -10 / (10) - 4
= 7 - 10/ 6
= -3 / 6
= -1/2
Answer:
1st one is positive
2nd one is negative
3rd one is negative
4th one is positive
Step-by-step explanation: