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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Answer:
The answer is Option B
Step-by-step explanation:
<u>Step 1: Find the points</u>
The leftmost point is: <em>(-3, -1)</em>
The next point is: <em>(-2, 2)</em>
The next point is: <em>(1, 0)</em>
The next point is: <em>(3, 1)</em>
The rightmost point is: <em> (4, -2)</em>
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Answer: The answer is Option B
Answer:
Step-by-step explanation:
The difference quotient in general looks like
Sometimes the symbol "delta x" 
is used instead of h.
For the exponential function, the difference quotient is
Answer:
Step-by-step explanation:
Given
See attachment for complete question
Required
Express the answer in 
From the question, we have:
breath/person in a year
The number of breath is calculated by:
So, we have:
Reorder
Using scientific notation ;
The value (a) must be in the following interval 
So, we have:
By comparing the above with:
