Answer:
is this even math????
Step-by-step explanation:
Answer:
a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]
Step-by-step explanation:
a.We know that
e^jθ = cosθ + jsinθ and
e^(-jθ) = cosθ - jsinθ
Adding both equations, we have
e^jθ = cosθ + jsinθ
+
e^(-jθ) = cosθ - jsinθ
e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ
Simplifying, we have
e^jθ + e^(-jθ) = 2cosθ
dividing through by 2 we have
cosθ = ¹/₂[e^jθ + e^(-jθ)]
b. We know that
e^jθ = cosθ + jsinθ and
e^(-jθ) = cosθ - jsinθ
Subtracting both equations, we have
e^jθ = cosθ + jsinθ
-
e^(-jθ) = cosθ - jsinθ
e^jθ + e^(-jθ) = cosθ - cosθ + jsinθ - (-jsinθ)
Simplifying, we have
e^jθ - e^(-jθ) = 2jsinθ
dividing through by 2 we have
sinθ = ¹/₂[e^jθ - e^(-jθ)]
Answer:
go to The unit circle edgenunity on quizlet it gives you the answers
Step-by-step explanation:
can I get brainliest
37 is the answer of this. Hope this helps :)
<h2>Answer:
</h2><h2>14. 2z + 3yz - 6z +2yz + y - z - 4y
2z - 6z -4z - z
-5z + 3yz + 2yz + y - 4y 3yz + 2yz
-5z + 5yz + y - 4y
</h2><h2>Answer = -5z + 5yz - 3y </h2><h2 /><h2>15. -4ab + 3ax + ba - 6xa
-4ab + ba
Answer = -5ab - 3xa </h2><h2 /><h2>16. -c(3b - 7a)
-3bc - 7ac
Step-by-step explanation:
</h2><h2>Hopes this helps. Mark as brainlest plz!</h2>
