Question

If sin teta = cos teta find the value of 2 tan teta+ cos2 teta

Answer 1

Question:

if sin∅ = cos∅

then find the value of 2 tan ∅+ cos2∅

Answer :

given : sin∅ = cos∅

then, tan ∅ = 1

⇾ ∅ = 45°

therefore the value of

2 tan ∅+ cos2∅

= 2 tan 45° + cos (2×45)°

[ ∅ = 45° ]

= 2 tan 45° + cos 90°

= 2

I hope it helps you!

Answer 2

correct Question :-

If sin theta = cos theta then find the value of 2 tan theta +cos square theta

Answer :-

Given :-

=> sin ∅ =cos ∅

=> ∅ = π /4

required value :-

=> 2tan ∅ +cos²∅

=> 2tan 45° +cos² 45°

=> 2(1)+1/2

= 5/2