Solve cos^-163/65+2tan^-11/5=sin^-15

$$\cos ^ { - 1 } \frac { 63 } { 65 } + 2 \tan ^ { - 1 } \frac { 1 } { 5 } = \sin ^ { - 1 } 5$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$0.9998569233481488 ^ {-1} + 2 \cdot 0.00349067268159625 ^ {-1} = 0.08715574274765817 ^ {-1}$$

Calculate 0.9998569233481488 to the power of -1 and get \frac{625000000000000}{624910577092593}.

$$\frac{625000000000000}{624910577092593}+2\times 0.00349067268159625^{-1}=0.08715574274765817^{-1}$$

Calculate 0.00349067268159625 to the power of -1 and get \frac{800000000000000}{2792538145277}.

$$\frac{625000000000000}{624910577092593}+2\times \frac{800000000000000}{2792538145277}=0.08715574274765817^{-1}$$

Multiply 2 and \frac{800000000000000}{2792538145277} to get \frac{1600000000000000}{2792538145277}.

$$\frac{625000000000000}{624910577092593}+\frac{1600000000000000}{2792538145277}=0.08715574274765817^{-1}$$

Add \frac{625000000000000}{624910577092593} and \frac{1600000000000000}{2792538145277} to get \frac{1001602259688946925000000000000}{1745086623918129379314633261}.

$$\frac{1001602259688946925000000000000}{1745086623918129379314633261}=0.08715574274765817^{-1}$$

Calculate 0.08715574274765817 to the power of -1 and get \frac{100000000000000000}{8715574274765817}.

$$\frac{1001602259688946925000000000000}{1745086623918129379314633261}=\frac{100000000000000000}{8715574274765817}$$

Compare \frac{1001602259688946925000000000000}{1745086623918129379314633261} and \frac{100000000000000000}{8715574274765817}.

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