Muhaman H.

asked • 07/20/17

Simplify the expression by using a double-angle formula.

2sin35 cos35 
 
the equations are together. also the 35 on both sides are degrees. 

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Inactive Tutor answered • 07/20/17

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Use the trigonometric identity
 
sin(2x) = 2 cosx sinx
 
Then
 
2sin35° cos35° = sin[2(35°)] = sin70°
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Muhaman H.

thanks
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07/20/17

Inactive Tutor

Student, Arturo has used the Pattern Recognition practice. It's something you should learn to do.
 
As you proceed to Calculus, you will find there that simplifying trigonometric expressions is VERY VALUABLE. So LEARN the key Trigonometric formula for double angles, half angles, and identities--they will be the difference between constantly struggling in Calculus, or the alternative, which is slick simplifications and substitutions, and success.
 
By LEARN, I mean both MEMORIZE and UNDERSTAND.
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07/20/17

Inactive Tutor

Expanding a little on what Kenneth said:
 
If you go into engineering or physics, you will work with all kinds of wave equations whose solutions involve products of trigonometric functions.  Knowing the identities for sin(x ± y), cos(x ± y), sin(2x), cos(2x), and several others will let you simplify the expressions greatly, making it much easier to take derivatives, integrate, etc.
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07/20/17

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