sin(t)= 3/7 ,cos(t)

解答

sin (t) = \frac{3}{7}, cos (t)

t \in R 无解

求解步骤

sin (t) = \frac{3}{7}, cos (t)

使用反三角函数性质

sin (t) = \frac{3}{7}

sin (t) = \frac{3}{7}

的通解

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

t = arcsin (\frac{3}{7}) + 2 πn, t = π - arcsin (\frac{3}{7}) + 2 πn

t = arcsin (\frac{3}{7}) + 2 πn, t = π - arcsin (\frac{3}{7}) + 2 πn

在

cos (t)

范围内的解

t \in R 无解

tan (x) = \frac{16}{12}

sin (4 x + 10) = sin (9 0^{\circ})

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3 sec (2 θ) + 2 = 0

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