197k views
3 votes
Cos (50+ x)= sim (2x -6 ) what is the value of x to the nearest tenth

User Ali Ahmadi
by
7.8k points

1 Answer

5 votes

Answer:

To find the value of x that satisfies the equation cos(50 + x) = sin(2x - 6), we will need to solve for x. Let's go step by step:

1. We can start by rearranging the equation to isolate one of the trigonometric functions. In this case, let's isolate sin(2x - 6):

sin(2x - 6) = cos(90 - (2x - 6))

2. The sum-to-product identity states that sin(A) = cos(90 - A). Applying this identity to our equation, we have:

sin(2x - 6) = sin(90 - (2x - 6))

3. Now, we can set the arguments inside the trigonometric functions equal to each other:

2x - 6 = 90 - (2x - 6)

4. Simplifying the equation, we get:

2x - 6 = 90 - 2x + 6

4x = 90

5. To solve for x, we divide both sides of the equation by 4:

x = 90 / 4

x = 22.5

Therefore, the value of x that satisfies the given equation is approximately 22.5 to the nearest tenth.

User Cazala
by
8.0k points

No related questions found