Solve n[sin^-15/13+cos^-1(-3/5)]

$$n [ \sin ^ { - 1 } \frac { 5 } { 13 } + \cos ^ { - 1 } ( - \frac { 3 } { 5 } ) ]$$

Evaluate

$$\frac{10066579237658681210000000000000000n}{67123863357730880366709189833541}$$

Solution Steps

Evaluate trigonometric functions in the problem

$$n {(0.006712754400356021 ^ {-1} + 0.9999451693655121 ^ {-1})}$$

Calculate 0.006712754400356021 to the power of -1 and get \frac{1000000000000000000}{6712754400356021}.

$$n\left(\frac{1000000000000000000}{6712754400356021}+0.9999451693655121^{-1}\right)$$

Calculate 0.9999451693655121 to the power of -1 and get \frac{10000000000000000}{9999451693655121}.

$$n\left(\frac{1000000000000000000}{6712754400356021}+\frac{10000000000000000}{9999451693655121}\right)$$

Add \frac{1000000000000000000}{6712754400356021} and \frac{10000000000000000}{9999451693655121} to get \frac{10066579237658681210000000000000000}{67123863357730880366709189833541}.

$$n\times \frac{10066579237658681210000000000000000}{67123863357730880366709189833541}$$

Expand

$$\frac{10066579237658681210000000000000000n}{67123863357730880366709189833541}$$

Solution Steps

Evaluate trigonometric functions in the problem

$$n {(0.006712754400356021 ^ {-1} + 0.9999451693655121 ^ {-1})}$$

Calculate 0.006712754400356021 to the power of -1 and get \frac{1000000000000000000}{6712754400356021}.

$$n\left(\frac{1000000000000000000}{6712754400356021}+0.9999451693655121^{-1}\right)$$

Calculate 0.9999451693655121 to the power of -1 and get \frac{10000000000000000}{9999451693655121}.

$$n\left(\frac{1000000000000000000}{6712754400356021}+\frac{10000000000000000}{9999451693655121}\right)$$

Add \frac{1000000000000000000}{6712754400356021} and \frac{10000000000000000}{9999451693655121} to get \frac{10066579237658681210000000000000000}{67123863357730880366709189833541}.

$$n\times \frac{10066579237658681210000000000000000}{67123863357730880366709189833541}$$