Question

Prove secθ (1 – sinθ) (secθ + tanθ) = 1​

Answer 1

Step-by-step explanation:

taking LHS--

= 1/cos*(1-sin*)(sec*+tan*)

= (1/cos*- sin*/cos*) (1/cos*+ sin*/cos*)

= 1/cos²* -sin²*/cos²*

= sec²* - tan²*

= 1

LHS=RHS

hence, proved