Question

show that tan 45°+cot 45°=4​

Answer 1

cot 45°=1. so; we have to put the value of tan45°and cot45°. 1-1=0 .

Answer 2

Answer:

Let y=tan(x+45°)

y+1/y=4

y2–4y+1=0

y2–4y+4=3

(y−2)2=3

y−2=±3–√

y=2±3–√

tan(x+45°)=2±3–√

x+45°=tan−1(2±3–√)

x+45°=75°or375°

x=30°or335°