The identity Sin(α)/Tan(α) = Cos(α) is valid
Trigonometry is study of triangles. All trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side. Three major of them are as follows :-
Sine Function:
sin(θ) = Opposite / Hypotenuse
Cosine Function:
cos(θ) = Adjacent / Hypotenuse
Tangent Function:
tan(θ) = Opposite / Adjacent
Lets prove this identity by proceeding with the LHS
= Sin(α)/Tan(α)
= Sin(α)/ (Sin(α)/Cos(α)) (Tan(α) = Sin(α)/Cos(α))
= Sin(α)xCos(α) / Sin(α)
= Cos(α)
Hence verified
Learn more about Trigonometric Ratios here :
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The number of batches Nathaniel can make is 16.5 batches.
Nathaniel plans to make use of less than 40 cups of flour and he has already used 6 cups of flour. In order to determine how many batches he can make, we have to determine the number of cups of flour he can use. The cups of flour would be divided by the amount of flour that can be used to make a batch of muffins.
Maximum amount of flour Nathaniel can use = 39 - 6 = 33
Number of batches he can make = 33 / 2 = 16.5 batches
To learn more about division, please check: brainly.com/question/194007
A translation of 4 units down means subtract 4 from the y-coordinate.
A translation of 5 units right means add 5 to the x-coordinate.
The new polygon will have vertices
A'(-1, 1)
B'(-1, -2)
C'(3, -2)
D'(3, 2)
So we need have to understand that if we were to solve this, our answer would be 7 less than 'p' with that information we get p-7.
