Question

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What is the value of x? sin(x+21)°=cos(2x+21)° Enter your answer in the box. x =

Answer 1

Explanation:

x + 21 + 2x + 21 = 90 ------>A

3x + 42 = 90 ------>B

subtract 42 in eq B from both side so we will get

3x = 48

x=48/3

x = 16

Answer 2

`x=16`

Explanation:

We have been given that
`\text{sin}(x+21)^(\circ)=\text{cos}(2x+21)^(\circ)`. We are asked to find the value of x.

We know that
`\text{sin}(\theta)=\text{cos}(90-\theta)` and these both angles add up-to 90 degrees. So we can set an equation as:

`x+21+2x+21=90`

`3x+42=90`

Upon subtracting 42 from both sides of our equation we will get,

`3x+42-42=90-42`

`3x=48`

Let us divide both sides of our equation by 3.

`(3x)/(3)=(48)/(3)`

`x=16`

Therefore, the value of x is 16.