Question

The tangent and secant functions are undefined for the same values true or false

Answer 1

True

Explanation:

The tangent and secant functions are undefined for the same values.

Secant and tangent are trigonometry function. Each function has fix value for fix angle.

For angle 90° degree or
`(\pi)/(2)`

As we know,

`\tan90^\circ=\infty`

`\tan(\pi)/(2)=\infty`

`\sec90^\circ=\infty`

`\sec(\pi)/(2)=\infty`

True

∞ is undefined.

Hence, Both tangent and secant are undefined at 90°

Answer 2

TRUE

Explanation:

tanθ = 1/cotθ

cotθ = 0 when θ = ±(1/2)π, ±(3/2)π, … ±[(2n+1)/2]π.

∴ tanθ is undefined when θ = ±[(2n+1)/2]π.

secθ = 1/cosθ

cosθ = 0 when θ = ±(1/2)π, ±(3/2)π, , …, ±[(2n+1)/2]π.

∴ secθ is undefined when θ = ±[(2n+1)/2]π.

The tangent and secant functions are undefined for the same values of θ.