Graphing Trigonometric Functions

The number of hours of daylight, $H$, on day $t$ of any given year (on January $1, t=1$ ) in a particular city can be modeled by the function $H(t)=11+85 \sin \left[\frac{2 \pi}{365}(t-85)\right]$. a. March 26, the 85 th day of the year, is the spring equinox. Find the number of hours of daylight in the city on this day. b. June 26 , the 177 th day of the year, is the summer solstice, the day with the maximum number of hours of daylight. Find the number of hours of daylight in the city on this day c. December 26 , the 360 th day of the year, is the winter solstice, the day with the minimum number of hours of daylight. Find the number of hours of daylight in the city on this day. a. The number of hours of daylight in the city on March 26 is about 11 (Round to one decimal place as needed) b. The number of hours of daylight in the city on June 26 is about 19.5 (Round to one decimal place as needed) c. The number of hours of daylight in the city on December 26 is about (Round to one decimal place as needed)

Find the horizontal and veritcal stretching factors of the tangent function graphed below. The tangent function has the domain $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$.

Determine Min and Max from Trig Equation Score: $0 / 2$ Penalty: none Question Watch Video Show Examp Determine the minimum and maximum value of the following trigonometric function. \[ f(x)=-6 \cos 3 x+2 \] Answer Attempt 1 out of 2 Minimum: Maximum: Submit Answer

Given that \(\cos(\theta) = -\frac{3}{5}\) and \(\theta\) is in the second quadrant, find the values of \(\sin(\theta)\), \(\tan(\theta)\), \(\csc(\theta)\), \(\sec(\theta)\), and \(\cot(\theta)\).