SOLUTION: Write 5sin(t)-12cos(t) in the form Asin(Bt+ϕ) using sum or difference formulas.

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Question 1060384: Write 5sin(t)-12cos(t) in the form Asin(Bt+ϕ) using sum or difference formulas.
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20064)   (Show Source): You can put this solution on YOUR website!
Write 5sin(t)-12cos(t) in the form Asin(Bt+ϕ) using sum or difference formulas.

We can just take B as 1.

 





So to make those identitically equal, we must have

(1)    and
(2)   

Dividing equals by equals, using (2) and (1)

   
   
   
   

To get a positive coterminal angle we add 360°

   

   Squaring both sides of (1) and (2) and adding them:











Substituting:



Edwin

Answer by ikleyn(52878)   (Show Source): You can put this solution on YOUR website!
.
I solved it couple days ago under this link
https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1060188.html

https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1060188.html


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