3 10 points If sin 27 and cos is negative calculate tan Mak

3. /(10 points) If sin 2/7 and cos is negative calculate tan . Make a sketch. Find and name the quadrant in which this angle is in. 4./ (10 points) Sketch ONE PERIOD OF f(x) = 5cos(2z_r)-1 a./ Find the period and amplitude and phase shift period amplitude phase shift: b./ Explain in your words what kind of transformations you have to do on the standard y cosx function the get f(x) : Horizontal stretch or shrink ? Vertical /horizontal shift? Be as specific s you can! c./ What is the highest point of on f(x) d./ What is the lowest point of on f(r) Now you can make the graph either in steps or just f(x) whichever is easiest for you. Make sure you label your graph correctly. (without labeling the graph it worth zero point)

Solution

3. sin theta= 2/7 and cos theta is negative. It means theta is in second quadrant .

sin theta=2/7

opposite=2, hypotenuse=7

adjacent=sqrt(49-4)=srt45=3sqrt5

tan theta=opposite/adjacent = -2/3sqrt5