Pls help me. To be submitted tomorrow
1 answer:
Answer:
The value of your equation would be 371/30
Step-by-step explanation:
Given tanθ=8/15 - -(1)
sec^2θ
= 1+tan^2θ
= 1+(8/15)^2
= 1+64/225
= 225+64/225
= 289/225
=17^2+15^2
Now, secθ =
= 17/15
Cosθ = 15/17 - -(2)
Value of sinθ+cosθ/cosθ(1-cosθ)
Dividing numerator and denominator by cosθ, we get
= sinθ+cosθ/cosθ/cosθ(1-cosθ)/cosθ
= (sinθ/cosθ+cosθ/cosθ)/(1-cosθ)
= tanθ - 1/1-cosθ
= 8/15 + 1/1-15/17
= 8+15/15/17-15/17
= 23/15/2/17
= 23/15 x 17/2
= 371/30
Hope this helps!
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Answer:
The inverse function of f(x)=2.5*x+150 is f⁻¹(x)=
Step-by-step explanation:
An inverse or reciprocal function of f (x) is called another function f ⁻¹(x) that fulfills that:
If f(a)=b then f⁻¹(b)=a
That is, inverse functions are functions that do the "opposite" of each other. For example, if the function f (x) converts a to b, then the inverse must convert b to a.
To construct or calculate the inverse function of any function, you must follow the steps below:
Since f (x) or y is a function that depends on x, the variable x is solved as a function of the variable y. And since inverse functions swap the input and output values (that is, if f (x) = y then f⁻¹(y) = x), then the variables are swapped and write the inverse as a function.
You know that he function f(x) = 2.5*x + 150 or y=2.5*x +150
Solving for x:
2.5*x +150=y
2.5*x= y-150
Exchanging the variable, you obtain that <u><em>the inverse function of f(x)=2.5*x+150 is f⁻¹(x)=</em></u><u><em></em></u>