Is number 19 correct
2 answers:
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Answer:
you're not doing anything wrong
Step-by-step explanation:
In order for cos⁻¹ to be a function, its range must be restricted to [0, π]. The cosine value that is its argument is cos(-4π/3) = -1/2. You have properly identified cos⁻¹(-1/2) to be 2π/3.
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Cos and cos⁻¹ are conceptually inverse functions. Hence, conceptually, cos⁻¹(cos(x)) = x, regardless of the value of x. The expected answer here may be -4π/3.
As we discussed above, that would be incorrect. Cos⁻¹ cannot produce output values in the range [-π, -2π] unless it is specifically defined to do so. That would be an unusual definition of cos⁻¹. Nothing in the problem statement suggests anything other than the usual definition of cos⁻¹ applies.
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This is a good one to discuss with your teacher.
Answer:
Step-by-step explanation:
Given:
The equations given are:
Now, a linear function is of the form:
Where, 'm' and 'b' are real numbers and
Equation 1:
Simplifying using distributive property, we get:
The above equation is of the form . So, it represents a linear function.
Equation 2:
Here, both sides of the equation has same variable 'X'. So, it will form an equation of 1 variable. So, it's not a linear function.
Equation 3:
Simplifying the above equation. This gives,
This is not of the form of the linear function. So, it is also not a linear function.
Equation 4:
Simplifying the above equation. This gives,
This is not of the form of the linear function. So, it is also not a linear function.