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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Answer:
Commutative property of multiplication
Answer:
coordinates of A are (11/2, -3/2)
Step-by-step explanation:
midpoint = M(5, −4)
start point = A(6, 1)
endpoint = B(x, y)
equation :
x = m1 × x2 + m2 × x1 y = m1 × y2 + m2 × y1
_____________ _____________
m1 + m2 m1 + m2
x = (1 × 6) + (1 × 5) y= (1 × 1) + (1 × -4)
_____________ ____________
1 + 1 1 + 1
x = (6+5 )/ 2 = 11 / 2 y = (1+(-4))/2+(1-4)/2 = -3/2
∴coordinates of A are (11/2, -3/2)
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