5. $$ \operatorname{sen} v \operatorname{cotan} v=\cos v $$ 6. $$ \operatorname{sen} v an v+\cos v=\sec v $$ 7. $$ \operatorname{csec} v-\operatorname{sen} v=\operatorname{cotan} v \cos v $$ 8. $$ (\operatorname{sen} v+\cos v)^{2}+(\operatorname{sen} v-\cos v)^{2}=2 $$ 9. $$ (\operatorname{sen} v+\operatorname{cosec} v)^{2}=\operatorname{sen}^{2} v+\operatorname{cotan}^{2} v+3 $$ 10. $$ \sec ^{4} v-\sec ^{2} v= an ^{4} v- an ^{2} v $$ 11. $$ \left(\sec ^{2} v+\cos ^{2} v ight)\left(\sec v-\cos ^{2} v ight)= an ^{2} v+\operatorname{sen}^{2} v $$ 12. $$ \left(1+ an ^{2} v ight) \cos ^{2} v=1 $$

Question

5. $$ \operatorname{sen} v \operatorname{cotan} v=\cos v $$ 6. $$ \operatorname{sen} v 	an v+\cos v=\sec v $$ 7. $$ \operatorname{csec} v-\operatorname{sen} v=\operatorname{cotan} v \cos v $$ 8. $$ (\operatorname{sen} v+\cos v)^{2}+(\operatorname{sen} v-\cos v)^{2}=2 $$ 9. $$ (\operatorname{sen} v+\operatorname{cosec} v)^{2}=\operatorname{sen}^{2} v+\operatorname{cotan}^{2} v+3 $$ 10. $$ \sec ^{4} v-\sec ^{2} v=	an ^{4} v-	an ^{2} v $$ 11. $$ \left(\sec ^{2} v+\cos ^{2} vight)\left(\sec v-\cos ^{2} vight)=	an ^{2} v+\operatorname{sen}^{2} v $$ 12. $$ \left(1+	an ^{2} vight) \cos ^{2} v=1 $$

Lowe Wilson · Accepted Answer

5. $$ \sin v \cot v = \cos v $$ 6. $$ \sin v 	an v + \cos v = \sec v $$ 7. $$ \csc v - \sin v = \cot v \cos v $$ 8. $$ (\sin v + \cos v)^{2} + (\sin v - \cos v)^{2} = 2 $$ 9. $$ (\sin v + \csc v)^{2} = \sin^{2} v + \cot^{2} v + 3 $$ 10. $$ \sec^{4} v - \sec^{2} v = 	an^{4} v - 	an^{2} v $$ 11. $$ \left(\sec^{2} v + \cos^{2} vight)\left(\sec v - \cos^{2} vight) = 	an^{2} v + \sin^{2} v $$ 12. $$ \left(1 + 	an^{2} vight) \cos^{2} v = 1 $$

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