Question

prove that tanα=sinα•secα​

Answer 1

Step-by-step explanation:

tan a = side opposite / adjacent

sin a = side opposite / hypotenuse

cos a = adjacent side / hypotenuse

so

tan a = sin a / cos a

since, cos a =1/ sec a

therefore

tan a = sin a × sec a

Answer 2

Answer:

R.H.S.

=> sin a*sec a.

=>sin a*1/cos a.

=>sin a / cos a.

=> tan a.

=> L.H.S.

Formula used.

• sec a= 1/cos a.
• sin a / cos a= tan a.