Answer:
9cos(46x) + 9cos(12x)
Step-by-step explanation:
18cos(29x)cos(17x)
According to Product-Sum identities
cos(α)cos(β)= (1/2)[cos(α+β)+cos(α-β)]
Putting α=29x and β=17x in Product-Sum identity we get
= 18×(1/2)[cos(29x+17x)+cos(29x-1`7x)]
Dividing 18 by 2 we get 9
= 9[cos(46x)+cos(12x)]
Multiplying 9 with both the terms we get
= 9cos(46x)+9cos(12x)
6
(2x+8) -> (2(5)+8)-> 18
18/3 is 6
Answer:
72 degrees.
Step-by-step explanation:
We can name the measure of the angle x.
We can name the measure of the complement of it y.
Note that complementary angles add up to 90 degrees and supplementary angles add up to 180 degrees.
Using this info, we can set up two equations.
x+y=90
x+6y=180
Subtract the first equation from the second to eliminate x. You can do both ways, but I prefer to keep the equation positive.
x+6y=180
-x -y -90
5y=90
Divide both sides by 5.
y=18
The complement is 18, now we can plug that in to find x.
x+18=90
Subtract 18 from both sides.
x=72
The measure of the angle is 72 degrees.
77.94 - 77.94 + 42.09 = 42.09
that's correct?
