Two angles are coterminal if they differentiate in a factor of k*(2pi). This is a multiple of 360 degrees.
In this case 21 [pi /10] = [pi / 10] + 20 [pi/10] = [pi/10] + 2pi, then 21pi/10 is coterminal with pi/10.
In the case of -pi/10 you cannot get to pi/10 by adding a multiple of 2pi , then they are not coternminals.
Conclusion: you would not be right.
Answer:
1233.02 to 2 D.P.
Step-by-step explanation:
4 % = 0.04
So to obtain the amount after increase by 4% we multiply by 1.04:
1235 * 1.04 = 1284.4
Decreasing by 4%: we mutriply by 1 - 0.04 = 0.96:
1284.4 * 0.96
= 1233.024.
2cos^2 x = 1 + cos 2x
cos^2 x = 1/2(1 + cos 2x)
f(x) = 6cos^2 x - 4 sin 2x = 6(1/2(1 + cos 2x) - 4 sin 2x = 3 + 3cos 2x - 4sin 2x
To solve this, all you have to do is add 1/5 and 1/3.
Well, you might be thinking, "But the denominators are not the same! Fractions have to have like denominators in order to be added together!" And you are right. So, all we have to do, is make them both have the same denominator. To do this, we have to multiply both the numerator and denominator by the same number to find an equivalent fraction.
For 1/5, we can multiply both the numerator and denominator by 3, to get 3/15.
Likewise, we can multiply both the numerator and denominator of 1/3 by 5, to get 5/15.
Now, you can easily add 3/15 and 5/15 because all you have to do is add the numerators, because the denominators are the same!
3/15+5/15=8/15, so she spends 8/15 hour on her math and social studies homework.
Hope I helped!
