Answer:
Step-by-step explanation:
It is given that:
And we have to find the value of
As per trigonometric identities, the relation between can represented as:
Putting in place of
Because we are given
Putting value of cosine:
It is given that is in 2nd quadrant and value of sine is always positive in 2nd quadrant. So, the answer is.
Answer:
B
Step-by-step explanation:
Where a is a constant
Now, looking at the graph given, it takes the form
Where a is 3 (matching the answer).
Hence, B is the correct answer choice.
The function whose inverse is also a function is:
We know that inverse of a function is also a function if it is one-to-one function.
i.e. the graph of the function satisfies the horizontal line test.
i.e. there is a unique image corresponding to each element.
1)
The function G(x) is a straight increasing line( since the slope is positive)
Hence, the function is 1-1 as it is a strictly increasing function.
Hence, the inverse of G(x) is again a function.
2)
We know that a quadratic function is never 1-1.
( Since, it repeats it's value for every negative and positive value of a number )
Hence, the inverse of K(x) is not a function.
3)
Again we know that the modulus function is not a 1-1 function.
Hence, it's inverse is also not a function.
4)
As we know that a constant function is not 1-1.
Since it takes same value for each x.
Hence, the inverse of w(x) is not a function.