by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home How to find $ an $ on unit circle? Answer 1 John Anderson To find the tangent of an angle $ theta $ on the unit circle, you need to know the coordinates of the point where the terminal side of the angle intersects the unit circle. The coordinates are given by $ (...
by zhanhongyuan | Feb 5, 2025 | Math
Home Calculate the total revenue for a hotel in San Diego given its room rates and occupancy rate Answer 1 Abigail Nelson To calculate the total revenue for a hotel in San Diego, we use the formula: $ text{Total Revenue} = text{Number of Rooms} times text{Occupancy...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Prove that $ an(2 heta) = frac{2 an( heta)}{1 - an^2( heta)} $ using the unit circle Answer 1 Samuel Scott Consider a point on the unit circle at an angle $ theta $. Using the double-angle identities, we can write: $ sin(2theta) = 2sin(theta)cos(theta) $ and $...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Determine the cosine of the angle $t$ on the unit circle when the sine of $t$ is $frac{1}{2}$ Answer 1 Thomas Walker To find the cosine of the angle $t$ on the unit circle when the sine of $t$ is $frac{1}{2}$, we can use the Pythagorean identity:n $ sin^2(t) +...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Find the angle $ heta $ in the unit circle where the sum of $ sin( heta) $ and $ cos( heta) $ equals 1.5 Answer 1 Amelia Mitchell To find the angle $ theta $ where the sum of $ sin(theta) $ and $ cos(theta) $ equals 1.5, we start with the equation: $ sin(theta) +...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home > Page 6 Find the sine and cosine values for an angle of $ frac{pi}{4} $ on the unit circle Answer 1 Michael Moore To find the sine and cosine values for an angle of $ frac{pi}{4} $ on the unit circle, we can use the known values of the unit circle. For an...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home > Page 6 Find the exact values of $sin(x)$ and $cos(x)$ for all solutions in the third quadrant for the equation $2sin(x) + 3cos(x) = 1$ Answer 1 William King To find the exact values of $sin(x)$ and $cos(x)$ for all solutions in the third quadrant for the...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home > Page 6 Find the values of $ cos(θ) $ and $ sin(θ) $ at specific angles on the unit circle Answer 1 Olivia Lee Let Answer 2 Michael Moore Let us find the values of $cos(θ)$ and $sin(θ)$ at $θ = frac{π}{6}$:$ cosleft(frac{π}{6} ight) = frac{sqrt{3}}{2} $$...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home > Page 6 Find the value of $ an(frac{7pi}{6}) $ and explain using the unit circle Answer 1 John Anderson To find the value of $ tan(frac{7pi}{6}) $ using the unit circle:1. Locate the angle $frac{7pi}{6}$ on the unit circle. This angle is in the third...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Finding the $sin$, $cos$, and $ an$ of $45^circ$ using the unit circle Answer 1 Sophia Williams To find the trigonometric functions of $45^circ$ using the unit circle, note that $45^circ$ corresponds to an angle in the first quadrant where both the x and y...