Its helpful because it gives you the number to put in and to find the unit rate
Answer:
x = 41.81°, 138.19°, 210°, 330°
Explanation:
3cos(2x) + sin(x) = 1
subtract one from both sides
→ 3cos(2x) + sin(x) − 1 = 0
rewrite using trigonometry identities
→ 2 + sin(x) − 6sin²(x) = 0
solve x by substitution
f(x) = 2 + sin(x) − 6sin²(x)
= 2 + 4sin(x) - 3sin(x) − 6sin²(x)
= −2sinx(3sinx −2) − (3sinx−2)
= (3sinx −2)(−2sinx−1)
= −(3sinx −2)(2sinx+1)
f(x) = 2 + sin(x) − 6sin²(x) = 0
= −(3sinx −2)(2sinx+1) = 0
(3sinx −2) = 0 (2sinx+1) = 0
→sinx = 2/3 →sinx = −1/2
x = 41.81°, 138.19° x = 210°, 330°
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12 - x = 20 - 5x
You see that -x and -5x both have an 'x' variable? This means they are 'like' terms. To get -x to the other side, we must add (if like terms are on opposite sides, do the opposite of what the sign says, e.g. - will be +)
12 = 20 - 4x
Now move 20 to the other side. Remember, do the opposite! Since 20 is positive, we must minus 20 to the other side.
-8 = -4x
To get x by itself, you will need to get rid of the coefficient of -4. -4x basically means -4 times x, so the opposite of that would be divide! Divide by -4
2 = x (Since both sides have a negative, they cancel out to give a positive)
x = 2
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Answer: 25%
Step-by-step explanation:
