Question

if sin thita+cos thita=√2cos thita,(thita is not equal to 90°) then the value of tan thita is
(a)√2-1
(b)√2+1
(c)√2
(d) -√2​

Answer 1

Answer:

a) √2 - 1

Step-by-step explanation:

Sinθ + Cosθ = √2Cosθ

Divide by Cosθ on both sides.

=> SInθ/Cosθ + Cosθ/Cosθ = √2Cosθ/Cosθ.

=> Tanθ + 1 = √2

=> Tanθ = √2 - 1