Question

Help me please. How to prove this ?

Answer 1

Answer:

• First, you want to divide the numerator and denominator by the cosine(x), and afterwards, it looks like this...

$\frac{tan~x+1}{tan~x-1}$

• Include 45 as one of the parameters and correlate with tan.

$\frac{tan~x+tan~45}{tan~x-tan~45}$

• Next, you want to multiply the numerator and denominator by the conjugate of the denominator, in this case, tan x + tan 45.

• Lastly, simplify, and you have the answer as tan(45 + x)