Solve sin^-18/17+sin^-13/5=cos^-130/85

$$\sin ^ { - 1 } \frac { 8 } { 17 } + \sin ^ { - 1 } \frac { 3 } { 5 } = \cos ^ { - 1 } \frac { 30 } { 85 }$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$0.008213221784328803 ^ {-1} + 0.010471784116245792 ^ {-1} = 0.9999810273487268 ^ {-1}$$

Calculate 0.008213221784328803 to the power of -1 and get \frac{1000000000000000000}{8213221784328803}.

$$\frac{1000000000000000000}{8213221784328803}+0.010471784116245792^{-1}=0.9999810273487268^{-1}$$

Calculate 0.010471784116245792 to the power of -1 and get \frac{31250000000000000}{327243253632681}.

$$\frac{1000000000000000000}{8213221784328803}+\frac{31250000000000000}{327243253632681}=0.9999810273487268^{-1}$$

Add \frac{1000000000000000000}{8213221784328803} and \frac{31250000000000000}{327243253632681} to get \frac{583906434392956093750000000000000}{2687721419510571287047090410843}.

$$\frac{583906434392956093750000000000000}{2687721419510571287047090410843}=0.9999810273487268^{-1}$$

Calculate 0.9999810273487268 to the power of -1 and get \frac{2500000000000000}{2499952568371817}.

$$\frac{583906434392956093750000000000000}{2687721419510571287047090410843}=\frac{2500000000000000}{2499952568371817}$$

Compare \frac{583906434392956093750000000000000}{2687721419510571287047090410843} and \frac{2500000000000000}{2499952568371817}.

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