4 years ago

Write the equation for the inverse of the function. y = cos 2x

Mathematics

2 answers:

Pavel [41]4 years ago

6 0

the answer is y =Cos (2x)

ella [17]4 years ago

4 0

Answer:

Step-by-step explanation:

y = Cos(2x)

Inverses for trig functions are found the same way as any other inverse. The trick is to interchange x and y.

x = cos(2y) Take the inverse cos of both sides.

cos-1(x) = 2y Divide by 2

1/2 cos-1(x) = y

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The coordinates of triangle RST after it is translated four units right and three units up are (0, 5), (7, 8) and (0, -1)

<h3>How to determine the coordinates?</h3>

From the figure, the coordinates of the triangle RST are:

R = (-4, 2)

S = (3, 5)

T = (-4, -4)

The rule of translation is given as:

Four units right
Three units up

This is represented as:

(x, y) = (x + 4, y + 3)

So, we have:

R' = (-4 + 4, 2 + 3) = (0, 5)

S' = (3 + 4, 5 + 3) = (7, 8)

T = (-4 + 4, -4 + 3) = (0, -1)

Hence, the coordinates of triangle RST after it is translated four units right and three units up are (0, 5), (7, 8) and (0, -1)