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The measures of the angles are sin(x) = -5/√41, cos(x) = 4/√41, sec(x) = √41/4, csc(x) = -√41/5 and cot(x) = -4/5
<h3>How to determine the value of sin and cosine?</h3>
The tangent of the angle is given as:
tan(x) = -5/4
The hypotenuse is calculated as:
Hypotenuse = sqrt([(-5)^2 + (4)^2)
Evaluate the squares
Hypotenuse = ±√41
Given that sin(x) < 0, then
Hypotenuse = √41
The sin is calculated as:
sin(x) = -5/Hypotenuse
So, we have:
sin(x) = -5/√41
The cos is calculated as:
cos(x) = 4/Hypotenuse
So, we have:
cos(x) = 4/√41
The values of the reciprocal ratios are
sec(x) = √41/4
csc(x) = -√41/5
cot(x) = -4/5
Hence, the measures of the angles are sin(x) = -5/√41, cos(x) = 4/√41, sec(x) = √41/4, csc(x) = -√41/5 and cot(x) = -4/5
Read more about trigonometry ratio at:
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Answer:
$73.41
Step-by-step explanation:
The formula for figuring the payment A on principal P compounded n times per year at rate r for t years is ...
... A = P(r/n)/(1 -(1 +r/n)^(-nt))
... A = 3300·(.12/12)/(1 -(1 +.12/12)^(-12·5))
... = 33/(1 - 1.01^-60)
... ≈ 73.41
The monthly payment needed is $73.41.
Answer:
The answer is B. No solution
Step-by-step explanation:
16x^2 is not equal to 100, so the equation is false, and there is no solution for x.