Question

ule IUNIUWiig uenues :
( 1 ) sec²0-cos² 0 = sin²O (sec² 0 +1)​

Answer 1

To Prove :

sec²∅ - cos²∅ = tan(sec²∅ + 1)

LHS :

sec²∅ - cos²∅

→ sec²∅ - 1/sec²∅

→ (sec⁴∅ - 1)/sec²∅

→ [(sec²∅ + 1)(sec²∅ - 1)]/sec²∅

→ [(sec²∅ + 1)(1 - cos²∅)]/sec²∅

→ (sec²∅ + 1) × tan²∅/sec²∅

→ sin²∅(1 + sec²∅) → RHS

Hence, Proved