Solve tan^{2}20^{circ}+tan^240^circ+tan^280^circ=33

$$\tan ^ { 2 } 20 ^ { \circ } + \tan ^ { 2 } 40 ^ { \circ } + \tan ^ { 2 } 80 ^ { \circ } = 33$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$0.36397023426620234 ^ {2} + 0.8390996311772799 ^ {2} + 5.671281819617707 ^ {2} = 33$$

Calculate 0.36397023426620234 to the power of 2 and get 0.1324743314317942120331588058214756.

$$0.1324743314317942120331588058214756+0.8390996311772799^{2}+5.671281819617707^{2}=33$$

Calculate 0.8390996311772799 to the power of 2 and get 0.70408819104184715837886196294401.

$$0.1324743314317942120331588058214756+0.70408819104184715837886196294401+5.671281819617707^{2}=33$$

Add 0.1324743314317942120331588058214756 and 0.70408819104184715837886196294401 to get 0.8365625224736413704120207687654856.

$$0.8365625224736413704120207687654856+5.671281819617707^{2}=33$$

Calculate 5.671281819617707 to the power of 2 and get 32.163437477526329718519627937849.

$$0.8365625224736413704120207687654856+32.163437477526329718519627937849=33$$

Add 0.8365625224736413704120207687654856 and 32.163437477526329718519627937849 to get 32.9999999999999710889316487066144856.

$$32.9999999999999710889316487066144856=33$$

Compare 32.9999999999999710889316487066144856 and 33.

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