Question

Simplify sec ( t ) cos ( t ) to a single trig function.

Answer 1

sec ( t ) cos ( t )  = (1/cos (t)) *cos(t) = 1

Answer 2

These functions are expressed in terms of sine, cosine and tangent. The result of the given trig expression is 1

Trigonometry function

These functions are expressed in terms of sine, cosine and tangent

Given the expression sec ( t ) cos ( t )

sec(t) = 1/cos(t)

Substitute

sec ( t ) cos ( t ) = 1/cos(t) * cos(t)

sec ( t ) cos ( t ) = 1

Hence the result of the given trig expression is 1

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