MHB What is the graph of y = sin^2 x + cos^2 x?

  • Thread starter Thread starter karush
  • Start date Start date
  • Tags Tags
    Graph
Click For Summary
The equation y = sin²x + cos²x simplifies to y = 1, which indicates that the graph is a horizontal line at y = 1. This is a fundamental identity in trigonometry, confirming that the sum of the squares of sine and cosine functions equals one for all values of x. The discussion clarifies any confusion regarding potential typos in the equation. Overall, the graph is constant and does not vary with x. The conclusion reinforces the identity that y = sin²x + cos²x always equals 1.
karush
Gold Member
MHB
Messages
3,240
Reaction score
5
73.jpg

ok image to make sure I didn't have typo's
but I am clueless... I thot $y=\sin^2 x+cos^2 x$ was the graph of $y=1$
 
Mathematics news on Phys.org
y=1 would be correct for the given function.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

MHB Graph of $y=\sin{x}-2$ on the domain $[0,2\pi]$
  • · Replies 2 ·
Replies
2
Views
1K
High School How Do You Derive the Formula for sin(x-y)?
  • · Replies 5 ·
Replies
5
Views
2K
MHB 7.t.27 write eq for a sinusiol graph
  • · Replies 2 ·
Replies
2
Views
1K
MHB 7.8.99 find PS, VS Period, graph
  • · Replies 7 ·
Replies
7
Views
1K
MHB -7.8.98 amplitude period PS VS graph. of cos eq
  • · Replies 5 ·
Replies
5
Views
1K
Undergrad Adding 'z' to 2D graph equation
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Transforming coordinates between Cartesian and spherical
  • · Replies 1 ·
Replies
1
Views
2K
MHB Angle at Y-axis Crossing of y=sin(1/x) Graph
  • · Replies 1 ·
Replies
1
Views
2K
MHB -7.8.1 Amp, Period, PS, VS of 3cos(\pi x-2)+5
  • · Replies 5 ·
Replies
5
Views
2K
High School To calculate the polar unit vectors using rotated coordinates
  • · Replies 1 ·
Replies
1
Views
2K