Write an expression for the
1 answer:
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Given:
There are given that the cos function:
Explanation:
To find the value, first, we need to use the half-angle formula:
So,
From the half-angle formula:
Then,
Since 105 degrees is the 2nd quadrant so cosine is negative
Then,
By the formula:
Then,
Put the value of cos210 degrees into the above function:
So,
Final answer:
Hence, the value of the cos(105) is shown below:
The correct option A: graph A, shows the logarithmic function;
f(x) = log₃x + 1
<h3>Explain the term logarithmic function?</h3>- The opposite of such an exponential function is a logarithmic function.
- A log function and then an exponential function both use the same base.
- An exponent is a logarithm. f(x) = bx is how the exponential function be expressed.
- The formula again for logarithmic function is f(x) = log base b of x.
f(x) = log₃x + 1
- When x = 1
f(1) = log₃1 + 1
f(1) = 0 + 1
f(1) = 1
(1, 1)
- When x = 3
f(3) = log₃3 + 1
f(3) = 1 + 1
f(3) = 2
(3, 2)
Thus, the graph must contain the points (1, 1), (3, 2).
Therefore, graph A define the given logarithmic function;
f(x) = log₃x + 1.
To know more about the logarithmic function, here
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