Question

Sina sec(90-a) - cota cot(90-a)= 0

Answer 1

Answer:

$\huge\boxed{\fcolorbox{blue}{orange}{HELLO\:MATE}}$

GIVEN EXPRESSION:

sinA. sec(90-A) -cotA cot(90-A) = 0

ANSWER:

LHS =sinA. sec(90-A) -cotA. cot(90-A)

=sinA . cosecA - cot A . tanA

=sinA.1/sinA - cotA . 1/cotA

= 1 - 1

=0 =RHS

$\large\purple{\boxed{HENCE \:RHS = LHS}}$

POINTS TO REMEMBER:

→sin(90-A)=cosA

→cos(90-A)=sinA

→sec(90-A)=cosecA

→cosec(90-A)=secA

→cot(90-A)=tanA

→tan(90-A)=cotA