Question

Find the value of s in the interval [0, π/2] that makes the statement true. Round to four decimal places. tan s = 5.1527

Answer 1

Given:

`\tan s=5.1527`

Taking the inverse of tan on both sides, we get

`\tan ^(-1)\tan s=\tan ^(-1)5.1527`

`s=\tan ^(-1)5.1527`
`\text{ Use }tan^(-1)(5.1527)=79.016966.`
`s=79.016966`

Round to four decimal places.

`s=79.0170`

Hence the value of s is 79.0170.