cos θ =
, sin θ =
, cot θ = 4/7, sec θ =
, cosec θ = 
<h3>What are trigonometric ratios?</h3>
Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Sin θ: Opposite Side to θ/Hypotenuse
Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos
Cos θ: Adjacent Side to θ/Hypotenuse
Sec θ: Hypotenuse/Adjacent Side & 1/cos θ
Analysis:
tan θ = opposite/adjacent = 7/4
opposite = 7, adjacent = 4.
we now look for the hypotenuse of the right angled triangle
hypotenuse =
=
= 
sin θ = opposite/ hyp = 
Rationalize,
x
= 
But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.
Therefore, sin θ = - 
cos θ = adj/hyp = 
By rationalizing and knowing that cos θ is negative, cos θ = -
cot θ = 1/tan θ = 1/7/4 = 4/7
sec θ = 1/cos θ = 1/
= -
cosec θ = 1/sin θ = 1/
= 
Learn more about trigonometric ratios: brainly.com/question/24349828
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Every day, Michael consumes 4 more ounces than the pretzels. Multiply 5 by 4 to recieve the answer:
4 x 5 = 20
So the answer is A.
Answer:
Step-by-step explanation:
Answer: a) the dependent variable is y, the amount he earns depending on x, the independent variable. x is the number of hours.
b) y = 5x + 10
c) Bobby earns $27.50 for the 3.5 hour job
Step-by-step explanation: use the function y=5x + 10 substitute 3.5 for x
y = 5(3.5) + 10
y = 17.5 + 10
y= 27.5