Solve tan^-11/13-tan^-11/15=tan^-11/98

$$\tan ^ { - 1 } \frac { 1 } { 13 } - \tan ^ { - 1 } \frac { 1 } { 15 } = \tan ^ { - 1 } \frac { 1 } { 98 }$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$0.0013425617697150687 ^ {-1} - 0.0011635533597571888 ^ {-1} = 0.0001780948235149977 ^ {-1}$$

Calculate 0.0013425617697150687 to the power of -1 and get \frac{10000000000000000000}{13425617697150687}.

$$\frac{10000000000000000000}{13425617697150687}-0.0011635533597571888^{-1}=0.0001780948235149977^{-1}$$

Calculate 0.0011635533597571888 to the power of -1 and get \frac{625000000000000000}{727220849848243}.

$$\frac{10000000000000000000}{13425617697150687}-\frac{625000000000000000}{727220849848243}=0.0001780948235149977^{-1}$$

Subtract \frac{625000000000000000}{727220849848243} from \frac{10000000000000000000}{13425617697150687} to get -\frac{1118802562236749375000000000000000}{9763389111459533713357453192941}.

$$-\frac{1118802562236749375000000000000000}{9763389111459533713357453192941}=0.0001780948235149977^{-1}$$

Calculate 0.0001780948235149977 to the power of -1 and get \frac{10000000000000000000}{1780948235149977}.

$$-\frac{1118802562236749375000000000000000}{9763389111459533713357453192941}=\frac{10000000000000000000}{1780948235149977}$$

Compare -\frac{1118802562236749375000000000000000}{9763389111459533713357453192941} and \frac{10000000000000000000}{1780948235149977}.

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