Answer:
Cos b
Step-by-step explanation:
1/2[sin(a+b)+sin(a-b)]
1/2[sin a cos b +cos a sin b + sin A cos B - cos A sin B]
1/2[2sin a cos b]
sin a cos b
Answer:
75 divided by 4... each side of the square is 18.75 inches long
Multiply the number of pencils by the length to get total centimeters first, then convert to meters:
24 x 19 = 456 cams.
1 meter = 100 cm
Divide total cm by 100 to get meters
456 / 100 = 4.56 meters
Answer:
Step-by-step explanation:
This is a quadrilateral.
Sum of all angles of a quadrilateral = 360
x + 100 + 60 + 95 = 360
x + 255 = 360
x = 360 - 255
x = 105°
Answer:
The inverse function f^-1 (x) = (1/5) x
Step-by-step explanation:
* Lets explain what is the meaning of f^-1(x)
- f^-1 (x) the inverse function of f(x)
* How to find the inverse function
- In the function f(x) = ax + b, where a and b are constant
- Lets switch x and y
∵ y = ax + b
∴ x = ay + b
* Now lets solve to find y in terms of x
∵ x = ay + b ⇒ subtract b from the both sides
∴ x - b = ay ⇒ divide the two sides by a
∴ (x - b)/a = y
∴ The inverse function f^-1 (x) = (x - b)/a
* Lets do that with our problem
∵ f(x) = 5x ⇒ y = 5x
∴ x = 5y
- Find y in terms of x
∵ x = 5y ⇒ divide the both sides by 5
∴ x/5 = y
∴ f^-1 (x) = (1/5) x
* The inverse function f^-1 (x) = (1/5) x
