Question

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

sin(2h)sec(h)+2sin(−h)​

Answer 1

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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.

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Answer 2

Step-by-step explanation:

\large\blue{\textsf{✩ Answer ✓ }}✩ 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}}Answered By Miss Akdu