Question

Which of the following thronometric function is always continuous on R?​

Answer 1

The functions cosine and sine are defined for all real numbers and are continuous for all real numbers. The functions tangent, cotangent, secant, and cosecant have asymptotes where the denominator vanishes. These points are essential discontinuities

# Capricorn answer .

Answer 2

Trigonometric functions which are always continuous on R are sine and cosine.

• Continuous functions are those whose value exists at all points in the given domain, i.e. R in this case.
• Tangent and Secant functions get to infinity at odd multiples of $\pi/2$, .
• Cotangent and cosecant function get to infinity at even multiples of $\pi/2$.
• While sine and cosine exist for every value in R.