Is sin(x)+cos(x)=(1+tan(x))/(sec(x)) ?

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

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prove sin(x)+cos(x)=(1+tan(x))/(sec(x))

prove

sin (x) + cos (x) = \frac{1 + tan ( x )}{sec ( x )}

True

Solution steps

sin (x) + cos (x) = \frac{1 + tan ( x )}{sec ( x )}

Manipulating right side

\frac{1 + tan ( x )}{sec ( x )}

Express with sin, cos

= cos (x) + sin (x)

= sin (x) + cos (x)

We showed that the two sides could take the same form

\Rightarrow True

\frac{tan ^{2} ( θ )}{sec ( θ )} = sec (θ) - cos (θ)

\frac{cos ^{2} ( θ )}{1 - sin ( θ )} = 1 + sin (θ)

2 csc (2 x) = tan (x) + cot (x)

cos (x + y) = cos (x) cos (y) - sin (x) sin (y)

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

Is sin(x)+cos(x)=(1+tan(x))/(sec(x)) ?
The answer to whether sin(x)+cos(x)=(1+tan(x))/(sec(x)) is True