We are asked to find the principal value of
cos ⁻¹ (0.69)
which is just the least positive angle
cos ⁻¹ (0.69) = 46.37°
Other values of
cos ⁻¹ (0.69) is
46.37° - 180° n
where n is a whole number
Answer with explanation:
The given statement is which we have to prove by the principal of Mathematical Induction
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1.→For, n=1
L H S =2
R H S=1
2>1
L H S> R H S
So,the Statement is true for , n=1.
2.⇒Let the statement is true for, n=k.
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---------------------------------------(1)
3⇒Now, we will prove that the mathematical statement is true for, n=k+1.
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Hence it is true for, n=k+1.
So,we have proved the statement with the help of mathematical Induction, which is
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Answer:
0.45
Step-by-step explanation:
Die 1 is loaded so that only 1, 4, and 6 are possible.
P(1) + P(4) + P(6) = 0.5 + 0.25 + 0.25 = 1
Similarly, Die 2 is loaded so that only 2, 3, and 5 are possible.
P(2) + P(3) + P(5) = 1
0.3 + 0.25 + P(5) = 1
P(5) = 0.45
Answer: n = -3
Step-by-step explanation:
8(3n + 5) = -32
- <em>Divide both sides by 8.</em>
(3n + 5) = -4
- <em>Subtract 5 by both sides.</em>
3n = -4 - 5
3n = -9
- <em>Divide both sides by 3.</em>
n = -3