I want to know the exact height of the big column
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
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❖ A number y increased by 5 is at least -21.
❖ First, if you come across the word "increased" it means we
"increase" a number, or add something to that number, like
y increased by 5
Now, we are also given that this expression is at least -21, which means it can't be -21; it can be -21 or it can be greater than -21.
So we have
<em>Solving for y</em>
<em></em>
- Subtract 5 on both sides:-
So the values of y greater than or equal to -26 will make this inequality true.
<h3>Good luck with your studies.</h3>