Question

Teniendo en cuenta que tg 45°=1, deduce el valor de sen 45° y de cos 45° mediante las relaciones fundamentales.

Answer 1

the value is 0.707

Explanation:

The computation is shown below:

Tan (x) = sen (x) ÷ cos (x)

Tan 45° = sen 45° ÷ cos 45° = 1

Now

Sen^2 (x) + cos^2 (x) = 1

Sen^2 (x) + sin^2 (x) = 1 (As sen (x) = u)

2u^2 = 1

u = √1 ÷ √2

= √2 ÷ 2

= 0.707

Hence, the value is 0.707