Answer:
cos3x+tan3x=0
⟹cos3x=−tan3x
⟹cos3x=−sin3xcos3x
⟹cos23x=−sin3x
⟹1−sin23x=−sin3x
⟹sin23x−sin3x−1=0
This is a quadratic equation in sin3x.
sin3x=−(−1)±(−1)2−4×1×(−1)−−−−−−−−−−−−−−−−−√2×1
sin3x=1±5–√2
If x takes real values, the upper sign must be rejected.
sin3x=1−5–√2
⟹3x=nπ+(−1)nsin−11−5–√2
⟹x=13[nπ+(−1)nsin−11−5–√2]
Step-by-step explanation:
Hope this kind of helps
Answer: 17
Step-by-step explanation: The range of a data set is the difference between the largest and smallest numbers
In this data set, the largest number is 22 and the smallest number is 5 so the range of the data set will simply be 22 - 5 or 17.
So the range of this data set is 17.
Answer: 4x+20
Step-by-step explanation:
Take the number outside the parentheses, and multiply it by each number inside it, one at a time.
then you simply just combine them.
The percent of change would be -33.3% which would then equal a 33.3% decrease (when decimal is rounded)
what I did was turn 1/4 and 1/2 into decimals to make it easier to solve
