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

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

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

prove

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

True

Solution steps

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

Use the basic trigonometric identity:

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

\Rightarrow True

sin (x) = \frac{sec ( x )}{tan ( x ) + cot ( x )}

(cot (x) + 1)^{2} = csc^{2} (x) + 2 cot (x)

sin (θ) = - cos (θ + \frac{π}{2})

\frac{sin ( θ ) + cos ( θ )}{sin ( θ )} = 1 + cot (θ)

cos^{2} (x) (sec (x) + 1)^{2} = (cos (x) + 1)^{2}