Solve sin^13/5+sin^-14/5=pi/2

$$\sin ^ { 1 } \frac { 3 } { 5 } + \sin ^ { - 1 } \frac { 4 } { 5 } = \frac { \pi } { 2 }$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$0.010471784116245792 ^ {1} + 0.013962180339145272 ^ {-1} = \frac{\pi}{2}$$

Multiply both sides of the equation by 2.

$$2\times 0.010471784116245792^{1}+2\times 0.013962180339145272^{-1}=\pi$$

Calculate 0.010471784116245792 to the power of 1 and get 0.010471784116245792.

$$2\times 0.010471784116245792+2\times 0.013962180339145272^{-1}=\pi$$

Multiply 2 and 0.010471784116245792 to get 0.020943568232491584.

$$0.020943568232491584+2\times 0.013962180339145272^{-1}=\pi$$

Calculate 0.013962180339145272 to the power of -1 and get \frac{125000000000000000}{1745272542393159}.

$$0.020943568232491584+2\times \frac{125000000000000000}{1745272542393159}=\pi$$

Multiply 2 and \frac{125000000000000000}{1745272542393159} to get \frac{250000000000000000}{1745272542393159}.

$$0.020943568232491584+\frac{250000000000000000}{1745272542393159}=\pi$$

Add 0.020943568232491584 and \frac{250000000000000000}{1745272542393159} to get \frac{3906821128665248518533500073229279}{27269883474893109375000000000000}.

$$\frac{3906821128665248518533500073229279}{27269883474893109375000000000000}=\pi$$

Compare \frac{3906821128665248518533500073229279}{27269883474893109375000000000000} and \pi .

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