표현을 단순화하십시오 :? (π / 2 + α) -cos ^ 2 (α-π / 2)) / (tg ^ 2 (π / 2 + α) -ctg ^ 2

표현을 단순화하십시오 :? (π / 2 + α) -cos ^ 2 (α-π / 2)) / (tg ^ 2 (π / 2 + α) -ctg ^ 2
Anonim

(π / 2 + α) -cos ^ 2 (α-π / 2)) / (tan ^ 2 (π / 2 + α) -cot ^ 2

(π / 2-α)) / (tan2 (π / 2 + α) -cot ^ 2 (π / 2-α)) #

(α) = (cos ^ 2 (α) -sin ^ 2 (alpha)) / (cot ^ 2 (alpha) -tan ^ 2 (alpha)) #

(α) / sin ^ 2 (α) -sin ^ 2 (α) / cos ^ 2 (α)) # = (cos ^ 2

(α)) / (sin ^ 2 (α) cos ^ 2 (α))) = (cos ^ 2 (α) -sin ^ 2 #

(alpha)) / 1 (cos ^ 2 (alpha) -sin ^ 2 (alpha)) / #

(cos ^ 2 (alpha) -sin ^ 2 (alpha)) / (cos ^ 2 (alpha) -sin ^ 2 (alpha)) (sin ^ 2 (alpha) cos ^ 2 (alpha)) / 1 #

# = sin ^ 2 (alpha) cos ^ 2 (alpha) #