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:
b = 14-4
Step-by-step explanation:
Let the number of black bugs be b
Let the number of green bugs be g
If 14 bugs are crawling on the step, then;
b + g = 14 ....1
If there are 4 green bugs, then g = 4
Substitute g = 4 into the equation
b + g = 14
b + 4 = 14
b = 14 - 4
Hence the sentence that can be required to find the number of black bugs is b = 14-4
Answer:
Step-by-step explanation:
let the original price=x
85 % of x=51

Answer:
186
Step-by-step explanation:
Your entire surface area is
216
the area of the rectangle on the bottom is 30
substract 30 from 216
Answer:
Step-by-step explanation:
f(x)=4x+1
g(x) = x^2-5
(f*g)(x) = 4x^3+x^2-20x-5