If the value of cos(θ) is negative, this angle (θ) can only be in one of two quadrants; the sine quadrant or the tan quadrant. In the sine quadrant, tan(θ) must be negative, but since tan(θ) > 0, we can safely say that the angle (<span>θ) is based in the tan quadrant.
We know that cos(</span><span>θ) = - Adjacent / Hypotenuse, and in this case Adjacent = 2 and Hypotenuse = 5. Using Pythagoras' theorem, we can find the opposite side of the right angled triangle situated in the tan quadrant...
</span>Adjacent² + Opposite² = Hypotenuse²
Therefore:
2² + Opposite² = 5²
Opposite² = 5² - 2²
Opposite² = 21
Opposite = √(21)
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Now, sin(θ) must be negative, as the right angled triangle is in the tan quadrant. We also know that sin(<span>θ) = Opposite / Hypotenuse, therefore:
sin(</span><span>θ) = - [</span>√(21)]/[5]
Answer:
0.421875
Step-by-step explanation:
3/4 = 0.75
0.75 * 0.75 * 0.75 = 0.421875
M∠Е = 180 - (54+32) = 94°
18/sin94° = EF/sin54° ⇒
EF = (18*sin54°)/sin94° ≈ 14.6 m
B. 14.6 m
1/9 • 5/4 = 1/9 • 1 1/4 = 11/36. Hoped I helped!
the answer is m= -3
distribute the -2 then solve
