Solve left(sin(5)right)^6+left(cos(5)right)^6=1

$${ \left( \sin ( 5 ) \right) }^{ 6 } + { \left( \cos ( 5 ) \right) }^{ 6 } =1$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$0.08715574274765817 ^ {6} + 0.9961946980917455 ^ {6} = 1$$

Calculate 0.08715574274765817 to the power of 6 and get 0.000000438304621586470510986998752082432128048048950558558630054334630944103008661589045573051747681169.

$$0.000000438304621586470510986998752082432128048048950558558630054334630944103008661589045573051747681169+0.9961946980917455^{6}=1$$

Calculate 0.9961946980917455 to the power of 6 and get 0.977384294490093867438426195886085887802117635225499985644933453701306072431978742547614569390625.

$$0.000000438304621586470510986998752082432128048048950558558630054334630944103008661589045573051747681169+0.977384294490093867438426195886085887802117635225499985644933453701306072431978742547614569390625=1$$

Add 0.000000438304621586470510986998752082432128048048950558558630054334630944103008661589045573051747681169 and 0.977384294490093867438426195886085887802117635225499985644933453701306072431978742547614569390625 to get 0.977384732794715453908937182884837970234245683274450544203563508035937016534987404136660142442372681169.

$$0.977384732794715453908937182884837970234245683274450544203563508035937016534987404136660142442372681169=1$$

Compare 0.977384732794715453908937182884837970234245683274450544203563508035937016534987404136660142442372681169 and 1.

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