<span>sin(theta) = 6/10 and theta is in the second quadrant. Use trigonometric identities to find the following quantities exactly.
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sin = 3/5
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(a) cos(theta)
cos = sqrt(1 - sin^2) = -4/5 (negative in Q2)
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(b) sin(2theta) =
sin(2t) = 2sin(t)*cos(t) = -24/25 --> Q3
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(c) cos(2theta
cos(2t) = sqrt(1 - sin^2(2t)) = -7/25 (negative in Q3)
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(d) tan(2theta) = = sin(2t)/cos(2t) = 24/7 (+ in Q3)</span>
Answer:
C
Step-by-step explanation:
If we were to draw a horizontal line from the bottom of the ladder to the bottom of the tree and then draw a vertical line from the bottom of the tree to the top of the ladder, we'd get a right triangle with legs as the distance between the bottom of the tree and the bottom of the ladder and the height of the ladder, and the hypotenuse is the length.
Here, we know the hypotenuse is 10 feet and that the bottom of the ladder is 4 feet away from the bottom of the tree, so use the Pythagorean Theorem to find the height:
h =
≈ 9.2 feet
The answer is C.
Answer: (5x2 + 2)(3x – 1)
Step-by-step explanation:
The absolute value equation which could be used to obtain the greatest and least possible temperature values when the temperature reading is 17°F is (17 ± 2)°F
- Thermometer accuracy = ±2°F
- Thermometer reading = 17°F
<u>The least possible value of </u><u>temperature</u><u> </u><u>can</u><u> </u><u>be</u><u> </u><u>calculated</u><u> </u><u>thus</u> :
- Thermometer reading - thermometer accuracy
<u>The highest possible </u><u>temperature</u><u> </u><u>can</u><u> </u><u>be</u><u> </u><u>calculated</u> thus :
- Themometer reading - thermometer accuracy
Hence, the absolute value equation which represents the scenario is (17 ± 2)°F
Learn more :brainly.com/question/15748955