Question

tanA +cotA = 1/sinA cosA​

Answer 1

tanA=sinA/cosA

cotA=cosA/sinA

therefore

sinA/cosA+cosA/sinA =

lcm =sinA×cosA

therefore

sin²A+cos²A/sinA cosA

1/sinA cosA here (sin²+cos²=1)

Answer 2

Step-by-step explanation:

Tan A=Sin A/Cos A

Cot A=Cos A/Sin A

Sin A/Cos A + Cos A/Sin A

Sin^2A+Cos^A/SIna CosA (By finding LCM)

1/Sin A Cos A (Sin^2A+Cos^A=1)

Thus Proved.