化简 (8+sin(t))^2+cos^2(t)

解答

化简

(8 + sin (t))^{2} + cos^{2} (t)

16 sin (t) + 65

求解步骤

(8 + sin (t))^{2} + cos^{2} (t)

展开

(8 + sin (t))^{2} : 64 + 16 sin (t) + sin^{2} (t)

= 64 + 16 sin (t) + sin^{2} (t) + cos^{2} (t)

使用毕达哥拉斯恒等式:

cos^{2} (x) + sin^{2} (x) = 1

= 16 sin (t) + 64 + 1

数字相加:

64 + 1 = 65

= 16 sin (t) + 65

e x p an d sec (y) (tan (y) - sec (y)) d y

e x p an d H (8 - t) (sin (t - 1) - sin (t - 4))

e x p an d \frac{5 s ^{2} + 4}{( s ^{2} + 17 ) ( s - 1 )}

e x p an d e^{2 x} (x^{3} + 1)

e x p an d (3 a + 4 c = 8, 2) - (2 a + 3 c = 58)