The zero of the polynomial 8x+3 is
2 answers:
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Answer:
The correct option is C) 5, 5/2
The sequence given is:
80, 40, 20, 10, _____, ______
If we look at the given numbers, it appears that every next number is obtained by dividing the previous number of 2.
Like 40 is obtained by dividing 80 by 2
Similarly:
Therefore, the complete sequence is:
80, 40, 20, 10, 5, 5/2
Hence the correct option is C) 5, 5/2
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
