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受欢迎的三角函数 >

cos(t)= 15/17

解答

cos (t) = \frac{15}{17}

解答

t = 0.48995 \dots + 2 πn, t = 2 π - 0.48995 \dots + 2 πn

+1

度数

t = 28.07248 \dots^{\circ} + 36 0^{\circ} n, t = 331.92751 \dots^{\circ} + 36 0^{\circ} n

求解步骤

cos (t) = \frac{15}{17}

使用反三角函数性质

cos (t) = \frac{15}{17}

cos (t) = \frac{15}{17}

的通解

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

t = arccos (\frac{15}{17}) + 2 πn, t = 2 π - arccos (\frac{15}{17}) + 2 πn

t = arccos (\frac{15}{17}) + 2 πn, t = 2 π - arccos (\frac{15}{17}) + 2 πn

以小数形式表示解

t = 0.48995 \dots + 2 πn, t = 2 π - 0.48995 \dots + 2 πn

作图

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