At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
The answer to your question is: Yes.
Now, would you like to actually see the solution ?
First, multiply the quantity out:
(sin + cos)² = sin²(t) + cos²(t) + 2sin(t)cos(t)
You need to know:
==> sin²(any angle) + cos²(the same angle) = 1
==> 2sin(any angle)cos(the same angle) = sin(double the angle)
So the equation becomes:
(sin + cos)² = 1 + sin(2t)
Now, would you like to actually see the solution ?
First, multiply the quantity out:
(sin + cos)² = sin²(t) + cos²(t) + 2sin(t)cos(t)
You need to know:
==> sin²(any angle) + cos²(the same angle) = 1
==> 2sin(any angle)cos(the same angle) = sin(double the angle)
So the equation becomes:
(sin + cos)² = 1 + sin(2t)
[tex](sin\ t+cos\ t)^2=sin^2t+cos^2t+2\cdot sin\ t\cdot cos\ t=1+sin\ 2t[/tex]
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.