f(x) *g(x) = (x-3)(x+11) = x^2 +11x -3x -33 = x^2 +8x -33
Sorry if its wrong :(
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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Answer:
angle 2 = 37º
Step-by-step explanation:
When two lines intersect they make vertical angles, which are angles directly across from another. Vertical angles are always congruent.
This gives no information, how many of each were sold
Answer:
y = - 8
Step-by-step explanation:
y - 16 - 3y = 0
Group like terms
y - 3y - 16 = 0
Add similar elements: y - 3y = - 2y
- 2y - 16 = 0
Add 16 to both sides
- 2y - 16 + 16 = 0 + 16
Simplify
- 2y = 16
Divide both sides by - 2
=
Simplify : y
Apply the fraction rule:
=
Divide the numbers:
= y
Simplify : - 8
Apply the fraction rule:
Divide the numbers: = 8
= - 8
y = - 8