Answer:
The correct options are;
1) Write tan(x + y) as sin(x + y) over cos(x + y)
2) Use the sum identity for sine to rewrite the numerator
3) Use the sum identity for cosine to rewrite the denominator
4) Divide both the numerator and denominator by cos(x)·cos(y)
5) Simplify fractions by dividing out common factors or using the tangent quotient identity
Step-by-step explanation:
Given that the required identity is Tangent (x + y) = (tangent (x) + tangent (y))/(1 - tangent(x) × tangent (y)), we have;
tan(x + y) = sin(x + y)/(cos(x + y))
sin(x + y)/(cos(x + y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y))
(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y))
(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y)) = (tan(x) + tan(y))(1 - tan(x)·tan(y)
∴ tan(x + y) = (tan(x) + tan(y))(1 - tan(x)·tan(y)
Answer:X=3
Step-by-step explanation:We simplify the equation to the form, which is simple to understand
7+x-(3+32/8)=3
Simplifying:
7+x-(3+4)=3
Simplifying terms in parentheses
7+x-(+7)=3
Remove unnecessary parentheses
7+x-7=3
We move all terms containing x to the left and all other terms to the right.
+1x=+3-7+7
We simplify left and right side of the equation.
+1x=+3
We divide both sides of the equation by 1 to get x.
x=3
figure it out yourself the dump
Answer:
126 different symbols can be represented in Morse code
Step-by-step explanation:
We need to sum up the number of sequences using one single place, two places, three places, four places and so on until sequences of six places (dots and dashes).
For each case we use the fundamental counting principle.
For one single place we may have 2 possible sequences (a dash or a dot)
For two places (example: .. or ._) we may have 2*2 sequences, since each place may be filled with either dash or dot (2 possible ways) and then we multiply the ways each place can be filled, thus
Similarly, for three places we may have 2*2*2 sequences, thus
For four places we may have 2*2*2*2 sequences, thus
And so on.
So, notice the total up to arrangements of six symbols, is:
Answer: 554
Step-by-step explanation:
Formula we use to find the sample size :
Given : Standard deviation :
Margin of error : E=one quarter hour = 0.25 hour
Two-tailed , Critical value use for 0.95 degree of confidence:
i.e.
Hence, the required sample size = 554
i.e. 554 executives should be surveyed.