Looking at the unit circle:
tanӨ = tan(Ө <span>± 180k)
If we add/subtract 180° from our angle, it simply ends up on the other side of the unit circle. Since tan</span>Ө is represented as slope, the values of the two are the same.
cotӨ is defined as the reciprocal of tanӨ (1/tanӨ)
If tanӨ = tan(Ө ± 180k), then we could also say that
1/tanӨ = 1/tan(Ө ± 180k) which then becomes cotӨ = cot(Ө ± 180k)
Let's apply this to cot(290°).
Subtract 180° to find that cot(290°) = cot(110°)
cot(110°) = -cot(70°) because the angle has been reflected across the y axis, making its slope opposite.
-cot(70°) = -1/tan(70°) because of that reciprocal property from earlier
tan(70°) ≈ 2.75
-1/tan(70°) ≈ -0.36 = cot(290°)
(of course, most calculators can handle tan(110°), but if you're using a trig chart it might not be on there. include whichever steps are necessary)
Answer:
The ans would be 291 (however we can round this off to 290 as no can partially vote as 0.1)
Step-by-step explanation:
We can easily find the loser's vote by-
70% of 969= 678.9
now, all we need to do is find the winners vote
we know that the total no. of votes= 969 & we know the no. of votes loser got
so, subtracting the losers vote from 969 would give us the remaining no. of votes (the winner's votes)....so,
969-678.9=290.1
we can round this off to 290
Answer:
Step-by-step explanation:
area of a circle=πr^2
=3.14*(73)^2
=3.14*5329
=16733.06 ft^2
Answer:
47
Step-by-step explanation:
Simplify the following:
-26 + 6 - -67
Hint: | Multiply -1 and -67 together.
-(-67) = 67:
-26 + 6 + 67
Hint: | Evaluate 6 + 67 using long addition.
| 1 |
| 6 | 7
+ | | 6
| 7 | 3:
73 - 26
Hint: | Subtract 26 from 73.
| 6 | 13
| 7 | 3
- | 2 | 6
| 4 | 7:
Answer: 47
