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Identidades trigonométricas

Ejercicio de Trigonometría

Sabiendo que: tan⁡(40°+α)⋅sen(50°−α)=cos⁡(10°+α)\tan(40°+\alpha)\cdot\text{sen}(50°-\alpha)=\cos(10°+\alpha)

y

tan⁡(2α−5°)⋅tan⁡(b)=tan⁡1°⋅tan⁡2°⋅tan⁡3°⋯tan⁡89°\tan(2\alpha-5°)\cdot\tan(b)=\tan1°\cdot\tan2°\cdot\tan3°\cdots\tan89°

Calcule: w=sec⁡2(2α+5°)+tan⁡2(b+5°)+csc⁡2(−α+b−5°)w=\sec^2(2\alpha+5°)+\tan^2(b+5°)+\csc^2(-\alpha+b-5°)