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:
350m
Step-by-step explanation:
- capacity= volume/1000
- but we know that volume of cylinder is πr²h so substitute it I'm the volume space
- then substitute for π as 22/7, h as 1.4 , and also capacity as 539
- 539= ((22/7)×r²×1.4)/1000
- when you simplify you get r as 350m
So 52 words per 1 minute
364 words per x minute
52:1 as is 364:x so
divide 364 by 52 and get 7
she typed 7 minutes
so 40% means 40/100 or 4/10
so 364=4/10
divide 364 by 2
364/2=182=2/10
multiply 182 by 5 ( to make 2/10 into 10/10) and get 910=words total to type
BUT WE WANT TO FIND WORDS LEFT so
910-364=546
she has 546 words left to type
Answer:
Graph W only. But be careful it is not directly proporotional.
