(tan(45+a)^2-1)*1/(tan(45+a)^2+1) если a=3 (упростите выражение)

$$frac{tan^{2}{left (a + 45 right )} – 1}{tan^{2}{left (a + 45 right )} + 1}$$

$$frac{tan^{2}{left (a + 45 right )} – 1}{tan^{2}{left (a + 45 right )} + 1}$$

(tan(45 + (3))^2 – 1)/(tan(45 + (3))^2 + 1)

$$frac{tan^{2}{left ((3) + 45 right )} – 1}{tan^{2}{left ((3) + 45 right )} + 1}$$

(tan(45 + 3)^2 – 1)/(tan(45 + 3)^2 + 1)

$$frac{-1 + tan^{2}{left (3 + 45 right )}}{1 + tan^{2}{left (3 + 45 right )}}$$

(-1 + tan(48)^2)/(1 + tan(48)^2)

$$frac{-1 + tan^{2}{left (48 right )}}{1 + tan^{2}{left (48 right )}}$$

(-1.0 + tan(45 + a)^2)/(1.0 + tan(45 + a)^2)

$$- cos{left (2 a + 90 right )}$$

2
1 – —————-
2
1 + tan (45 + a)

$$1 – frac{2}{tan^{2}{left (a + 45 right )} + 1}$$

(1 + tan(45 + a))*(-1 + tan(45 + a))
————————————
2
1 + tan (45 + a)

$$frac{left(tan{left (a + 45 right )} – 1right) left(tan{left (a + 45 right )} + 1right)}{tan^{2}{left (a + 45 right )} + 1}$$

2
(tan(45) + tan(a))
-1 + ———————
2
(1 – tan(45)*tan(a))
————————–
2
(tan(45) + tan(a))
1 + ———————
2
(1 – tan(45)*tan(a))

$$frac{-1 + frac{left(tan{left (a right )} + tan{left (45 right )}right)^{2}}{left(- tan{left (45 right )} tan{left (a right )} + 1right)^{2}}}{1 + frac{left(tan{left (a right )} + tan{left (45 right )}right)^{2}}{left(- tan{left (45 right )} tan{left (a right )} + 1right)^{2}}}$$