Solve cos^-15/13=2tan^-12/3

$$\cos ^ { - 1 } \frac { 5 } { 13 } = 2 \tan ^ { - 1 } \frac { 2 } { 3 }$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$0.999977469210362 ^ {-1} = 2 \cdot 0.011636053469084664 ^ {-1}$$

Calculate 0.999977469210362 to the power of -1 and get \frac{500000000000000}{499988734605181}.

$$\frac{500000000000000}{499988734605181}=2\times 0.011636053469084664^{-1}$$

Calculate 0.011636053469084664 to the power of -1 and get \frac{125000000000000000}{1454506683635583}.

$$\frac{500000000000000}{499988734605181}=2\times \frac{125000000000000000}{1454506683635583}$$

Multiply 2 and \frac{125000000000000000}{1454506683635583} to get \frac{250000000000000000}{1454506683635583}.

$$\frac{500000000000000}{499988734605181}=\frac{250000000000000000}{1454506683635583}$$

Compare \frac{500000000000000}{499988734605181} and \frac{250000000000000000}{1454506683635583}.

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