Question

What is the result when the following expression is simplified as much as possible?

sin(2h)sec(h)+2sin(−h)​

Answer 1

$\large\blue{\textsf{✩ Answer ✓ }}$

Because sin x is an odd function, we can rewrite the second term in the expression.

2sin(−h)=−2sin h.

We now use a double-angle formula to expand the first term.

sin(2h)sec h=2sin h cos h sec h.

Because they are reciprocals, cos h sec h=1.

2sin h cos h sec h−2sin h=2sin h−2sin h=0.

$\bf\pink{\textsf{Answered By Miss Akdu}}$

Answer 2

Answer:

LHS =(cosec θ−cotθ)

2=(sinθ1−sinθcosθ)

2=sin2θ(1−cosθ)2

=1−cos2θ(1−cosθ)

2=1+cosθ1−cosθ

=RHS