Factor out the cos<span>θ:
</span>cosθ (2sin<span>θ + sqrt3) = 0
</span>Therefore, the only ways this can happen are if either cosθ = 0 or if (2sin<span>θ + sqrt3) = 0
</span>The first case, cosθ = 0 only at θ <span>= pi/2, 3pi/2.
</span>The second case, <span>(2sin<span>θ + sqrt3) = 0 simplifies to:
</span></span>sin<span>θ = (-sqrt3)/2
</span><span><span>θ = 4pi/3, 5pi/3
</span></span><span><span>Therefore the answer is A.
</span></span>
Answer:
0.53 daL
Step-by-step explanation:
Y=mx+b m- slope b- y-intercept(where the line crosses the y axis)
31=.5(15)+b plug in your values
31=7.5+b simplify
23.5=b subtract 7.5 from both sides and your given b
y=.5x+23.5 plug everything into slope intercept form (y=mx+b)
Angle 2 and 5 are alternate interior angle and they are congruent. That means that m <5= 35°.