Prove that: sin2A tanA + cos2A cotA + 2sinA cosA = tanA+cotA - Maths - Introduction to Trigonometry

Question

Prove that: sin2A tanA + cos2A cotA + 2sinA
cosA = tanA+cotA

Anuradha Sharma · Accepted Answer

sin2AtanA+cos2AcotA+2sinAcosA= 1-cos2AtanA+1-sin2AcotA+2sinAcosA=tanA+cotA-cos2AtanA-sin2AcotA+2sinAcosA=tanA+cotA-cos2A×sinAcosA-sin2AcosAsinA+2sinAcosA=tanA+cotA-sinAcosA-sinAcosA+2sinAcosA=tanA+cotA

Prove that: sin2A.tanA + cos2A.cotA + 2sinA.cosA = tanA+cotA

Prove that: sin²A.tanA + cos²A.cotA + 2sinA.cosA = tanA+cotA