Question

(iv) Sin thita + Cos thita = √2 tan thita=?​

Answer 1

Answer:

1

Step-by-step explanation:

sin x+ cos x = √2

we know,

sin^2 x+ cos^2 x = 1

(sin x - cos x)^2 - 2sin x cos x = 1

(√2)^2-2sin x cos x = 1

2sin x cos x = 1

(sin x - cos x)^2

= sin^2 x + cos^2 x - 2 sin x cos x

=1-1

= 0

so sin x= cos x

sin x / cos x =1

tan x = 1