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受欢迎的三角函数 >

sin(x)=0.707

解答

sin (x) = 0.707

解答

x = 0.78524 \dots + 2 πn, x = π - 0.78524 \dots + 2 πn

+1

度数

x = 44.99134 \dots^{\circ} + 36 0^{\circ} n, x = 135.00865 \dots^{\circ} + 36 0^{\circ} n

求解步骤

sin (x) = 0.707

使用反三角函数性质

sin (x) = 0.707

sin (x) = 0.707

的通解

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

x = arcsin (0.707) + 2 πn, x = π - arcsin (0.707) + 2 πn

x = arcsin (0.707) + 2 πn, x = π - arcsin (0.707) + 2 πn

以小数形式表示解

x = 0.78524 \dots + 2 πn, x = π - 0.78524 \dots + 2 πn

作图

流行的例子

cos(θ)=(4sqrt(2))/7 ,sin(θ)

cos (θ) = \frac{4 2}{7}, sin (θ)

arctan(1/(x-1))+arctan(2/(x+1))= pi/4

arctan (\frac{1}{x - 1}) + arctan (\frac{2}{x + 1}) = \frac{π}{4}

cot(3x)=-tan(-(2pi)/5)

cot (3 x) = - tan (- \frac{2 π}{5})

cos (x) = \frac{60}{61}

cot (x) = 2