Question

tan (45°+a) +tan(45°-a)=k sec2a​

Answer 1

Answer:

k = 2

Step-by-step explanation:

Please find the attachment.

identity used

$tan(x + y) = \frac{tanx \: + tany}{1 - tanxtany} \\ tan(x - y) = \frac{tanx \: - tany}{1 + tanxtany} \\ cos2x = \frac{1 - {tan}^{2} x}{1 + {tan}^{2} x}$