@hero Factor the algebraic expression below in terms of a single trigonometric function.

sin 2x + sin x - 2

Question

@hero Factor the algebraic expression below in terms of a single trigonometric function.

sin 2x + sin x - 2

marissalovescats · Answer

Sin^2x+sinx-2?

anonymous · Answer

yes

anonymous · Answer

Do you know your trig identities @Nairz ????

anonymous · Answer

Yes

marissalovescats · Answer

Okay so it is the same if you had x^2+x-2 

That would be (x+2)(x-1) right? 

So (sinx+2)(sinx-1) 

Make sense?

anonymous · Answer

$$\Large \sin 2x + \sin x - 2~or~\sin^2x+sinx-2?$$

marissalovescats · Answer

With problems like this, it helps if I just look at it in terms of x

anonymous · Answer

Ok, forget my help lol thanks @marissalovescats

anonymous · Answer

Thanks, guys and gals!

marissalovescats · Answer

You're welcome! :)

anonymous · Answer

SO the answer is the factored version? @marissalovescats

marissalovescats · Answer

Yes

mathmale · Answer

Caution, @Nairz:  You were fortunately that Marissa was able to interpret your presentation of this problem correctly.  Your sin 2x + sin x - 2 actually means "the sine of twice the angle x plus the sine of x minus 2," when in fact you meant "the square of the sine of x plus the sine of x minus 2.  

Please use parentheses to be clear:  (sin x)^2, or $$\sin ^{2}x,~or~(\sin x)^2.$$

mathmale · Answer

Math is an exact science, so the more clearly you can communicate (or read) it, the better your chances of doing well in this subject.