Is sec(x)= 1/(cos(x)) ?

The answer to whether sec(x)= 1/(cos(x)) is True

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prove sec(x)= 1/(cos(x))

prove

sec (x) = \frac{1}{cos ( x )}

True

Solution steps

sec (x) = \frac{1}{cos ( x )}

Use the basic trigonometric identity:

sec (x) = \frac{1}{cos ( x )}

\Rightarrow True

p ro v e csc^{2} (x) - cot^{2} (x) = 1

p ro v e cot (x) - tan (x) = 2 cot (2 x)

p ro v e sin^{4} (x) - cos^{4} (x) = 2 sin^{2} (x) - 1

p ro v e (sec (θ) - 1) (sec (θ) + 1) = tan^{2} (θ)

p ro v e 1 + tan^{2} (x) = sec^{2} (x)