Vault Of Euclid

Horizontal Tangents of the Secant Function

Trigonometric and inverse trigonometric functions warmup

At what values of \( x \) does the graph of \( y = \sec x \) have a horizontal tangent?

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What you need first

the derivative of the secant function
the definitions of secant and tangent in terms of sine and cosine
the roots of the sine function

What this problem tests

Tests the ability to differentiate trigonometric functions and solve the resulting equations by analyzing the factors.

This is a standard introductory calculus problem that tests the knowledge of trigonometric derivatives and solving basic trigonometric equations.

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Integral Yielding an Inverse Tangent warmup

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