If cos theta =12/13.find 1+cot theta
1 answer:
Answer:
17/5
Step-by-step explanation:
If cosθ = 12/13, find (1+cotθ)
As shown in the diagram attached,
Cotθ = 1/tanθ = adjacent/opposite
From the diagram attached,
cotθ = 12/a................... Equation 1
But we can find the value of a by using pythagoras theorem
13² = 12²+a²
169 = 144+a²
a² = 169-144
a² = 25
a = √25
a = 5.
Substitute the value of a into equation 1
Therefore,
cotθ = 12/5
(1+cotθ) =(12/5)+1 = (5+12)/5
(1+cotθ) = 17/5
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Answer:
$1068.95
Step-by-step explanation:
Gross Pay = $1200
Health Insurance deducted = $42.50
Taxable Pay = 1200 - 42.50
= $1157.50
Social security rate = 6.2%
=
= 0.062 (converted into decimal)
Social security Tax = Taxable Pay * Social security rate
= 1157.50 *0.062
= 71.765
= $71.77 (rounded off to the nearest hundredth)
Medicare Tax rate = 1.45%
=
= 0.0145 (converted into decimal)
Medicare Tax = Taxable Pay * Medicare Tax rate
= 1157.50 * 0.0145
= $16.78
Net Pay = Gross Pay - Health Insurance deducted - Social security Tax - Medicare Tax
= 1200 - 42.50 - 71.77 - 16.78
= 1200 - (42.50 + 71.77 + 16.78)
= 1200 - 131.05
= $1068.95