Question

Cosec (90° + θ) + x cos θ cot(90°+ θ) = sin(90° + θ)​

Answer 1

Step-by-step explanation:

As we know that,

sin(90o−θ)=cosθ, cos(90o−θ)=sinθ,

cosec(90o−θ)=secθ, cot(90o−θ)=tanθ,

sec(90o−θ)=cosecθ, tan(90o−θ)=cotθ

∴ cosec(90−θ)sin(90−θ)cot(90−θ)cos(90−θ)sec(90−θ)tanθ+cotθtan(90−θ)

∴ sin(90−θ)1×sin(90−θ)×tanθsinθ×cos(90−θ)1×tanθ+cotθcotθ

=cosθ1×cosθsinθ×sinθ1+1 

=1+1=2

Hence, option C is correct.