Question

If tan x = 1.98 and sin x = .89, what is cos x

Answer 1

tanx=sinx/cosx
1.98=.89/cosx
cosx=.4495

Answer 2

`\text{cos}(x)\approx 0.4495`

Explanation:

We have been given that
`\text{tan}(x)=1.98` and
`\text{sin}(x)=0.89`. We are asked to find
`\text{cos}(x)`.

`\text{tan}(x)=\frac{\text{sin}(x)}{\text{cos}(x)}`

`\text{cos}(x)=\frac{\text{sin}(x)}{\text{tan}(x)}`

Upon substituting our given values, we will get:

`\text{cos}(x)=(0.89)/(1.98)`

`\text{cos}(x)=0.449494949`

`\text{cos}(x)\approx 0.4495`

Therefore, the value of
`\text{cos}(x)` is approximately 0.4495.