Answer:
B.RY/RS=RX/RT=XY/TS
Step-by-step explanation:
If Triangles RST and RYX are similar, then the ratio of their corresponding sides is:
Out of the given options, Option B is true.
PLEASE HELP ME I AM REALLY STUCK, BRAINLIEST IF CORRECT!! PLEASE USE WORK, THANK YOU!:) On a piece of paper, use a protractor to
construct
right triangle ABC with AB=4 in., m∠A=90°, and m∠B=45°.
What statement is true about the triangle?
A)AC=4 in.
B)BC=4 in.
C)AC=2 in.
D)BC=8 in.
right triangle ABC with AB=4 in., m∠A=90°, and m∠B=45°.
What statement is true about the triangle?
A)AC=4 in.
B)BC=4 in.
C)AC=2 in.
D)BC=8 in.
1 answer:
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Answer:
- cos(2θ) = 7/25
- tan(2θ) = -24/7
Step-by-step explanation:
Sometimes, it is easiest to let a calculator do the work. (See below)
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The magnitude of the tangent is less than 1, so the reference angle will be less than 45°. Then double the angle will be less than 90°, so will remain in the 4th quadrant, where the cosine is positive and the tangent is negative.
You can also use the identities ...
cos(2θ) = (1 -tan(θ)²)/(1 +tan(θ)²)
cos(2θ) = (1 -(-3/4)²)/(1 +(-3/4)²) = ((16-9)/16)/((16+9)/16)
cos(2θ) = 7/25
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tan(2θ) = 2tan(θ)/(1 -tan(θ)²) = 2(-3/4)/((16-9/16) = (-6/4)(16/7)
tan(2θ) = -24/7
