#Theta Math Problems

This visual represents the unit circle, and how the value of the sine of theta varies as the angle theta increases. Sine of theta can be thought of as the y coordinate as we move along the unit circle. The reason for this is because the unit circle has a radius of 1 by definition, which is the hypotenuse of the right angled triangle. Now, as we move along the arc of the circle, starting from the coordinate (1,0), our x and y positions change. We can call the angle between the x axis and the hypotenuse theta, and by simple trigonometry we see that the y coordinate is always the sine of theta! Follow @mathswithmuza for more… #math #mathskills #mathproblems #trigonometry #sine #cosine #algebra #learn #calculus #school #foryou #fyp #why #how #university #college #stem #physics #coding #chatgpt #mathstricks #ai #foryoupage

Comparison of Sin(theta) vs Sin(2*theta). You can see how multiply by a factor of 2 in the parenthesis has made the new period exactly half of the original period. Also, the amplitude of the wave should be equal to the height of the circle- this is an error I made while making the animation (for your information the amplitude should be 1, I just made it bigger so that it looked better visually). I hope you liked this reel and follow @mathswithmuza for much more! #math #learn #study #algebra #trigonometry #calculus #why #how #curious #chatgpt #explore #college #school #highschool #foryou #mathstudent #mathskills #mathproblems

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Follow @pi.mathematica for interesting content on maths & its practical applications✨ This visual represents the unit circle, and how the value of the sine of theta varies as the angle theta increases. Sine of theta can be thought of as the y coordinate as we move along the unit circle. The reason for this is because the unit circle has a radius of 1 by definition, which is the hypotenuse of the right angled triangle. Now, as we move along the arc of the circle, starting from the coordinate (1,0), our x and y positions change. We can call the angle between the x axis and the hypotenuse theta, and by simple trigonometry we see that the y coordinate is always the sine of theta! Credits: @mathswithmuza (Only for educational purposes,no copyright infringement intended. DM us for removal) #math #mathskills #mathproblems #trigonometry #sine #cosine #algebra #learn #calculus #school #foryou #fyp #why #how #university #college #stem #physics #coding #chatgpt #mathstricks #ai #foryoupage

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