It will take him (5 hours) to travel 300 miles.
The values of the trigonometry ratios are:
- cos α = - 5/13 and cot α = 5/12
- cot α = -5/12 and sec α = 13/5
<h3>How to solve the
trigonometry ratios?</h3>
<u>1: sin α = -12/13 and tan α > 0, find cos α and cot α</u>
Because tan α > 0, then it means that cos α and sin α are negative
So, we have:
sin²α + cos²α = 1
Substitute sin α = -12/13
(-12/13)² + cos²α = 1
This gives
cos²α = 1 - (-12/13)²
Evaluate the squares
cos²α = 1 - 144/169
Evaluate the difference
cos²α = 25/169
Take the square root of both sides
cos α = - 5/13
The cotangent ratio is represented as:
cot α = cos α/sin α
This gives
cot α = (-5/13)/(-12/13)
Evaluate
cot α = 5/12
Hence, cos α = - 5/13 and cot α = 5/12
<u>2: tan α = -12/5 for α in quadrant IV, find sec α and cot α</u>
Because α is in quadrant IV, then it means that sec α is positive
cot α = 1/tan α
This gives
cot α = 1/(-12/5)
Evaluate
cot α = -5/12
Also, we have:
sec²α = 1 + tan²α
Substitute tan α = -12/5
sec²α = 1 + (-12/5)²
Evaluate the squares
sec²α = 1 + 144/25
Evaluate the sum
sec²α = 169/25
Take the square root of both sides
sec α = 13/5
Hence, cot α = -5/12 and sec α = 13/5
Read more about trigonometry ratios at:
brainly.com/question/11967894
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You need to multiply 57100 by 0.07 = 3997
and then add 3997+57100 = $61,097
Dulari can deduct $3050 as moving expenses for her 2020 return
Pre-housing cost = $1475
Cost of the moving furniture = $2500
Cost of moving personal belongings = $3475
Total cost incurred while at Washington DC = $1475 + $2500 + $3475
Total cost incurred = $7450
AGI for 8 years = $84500
AGI for 1 year = $84000/8
AGI for 1 year = $10500
Since Dulari already spent $7450 trying to settle in Washington, she will spend ($10500 - $7450) as moving expenses for her return
$10500 - $7450 = $3050
Dulari can deduct $3050 as moving expenses for her 2020 return
Learn more here: brainly.com/question/3061964
