Question

Cos^2 t + 1 - sin^2 t

Answer 1

Ответ:

cos2 t + 1 - sin2 t = 

= cos2 t + sin2 a + cos2 t - sin2 t =

= 2cos2 t = 

= cos 2a + 1.

2) cos2 t + 1 - sin2 t = 

= (cos2 t - sin2 t) + 1= 

= cos 2a + 1.

Ответ: cos 2a + 1.

Answer 2

Ответ:   2cos²t

Объяснение:

1- sin² t =cos² t⇒

cos² t + 1 - sin² t = cos² t +( 1 - sin² t) =cos² t +cos² t =2cos²t

Answer 3

To simplify the expression cos^2(t) + 1 - sin^2(t), we can use the Pythagorean identity:

sin^2(t) + cos^2(t) = 1.

By substituting this identity into the expression, we get:

cos^2(t) + 1 - sin^2(t) = 1 + 1 - sin^2(t) - sin^2(t).

Combining like terms, we have:

cos^2(t) + 1 - sin^2(t) = 2 - 2sin^2(t).

Therefore, the simplified form of cos^2(t) + 1 - sin^2(t) is 2 - 2sin^2(t).