MATH 150 Midterm: MATH 150 KSU 150Test 2u02

• School: Kansas State University
• Department: Mathematics
• Course: MATH 150
• Professor: All

Document Summary

You must show your work to receive full credit. All answers must be exact unless otherwise speci ed. (this means no decimals). (8) 1. Verify the identity: tan t + 2 cos t csc t = sec t csc t + cot t (8) 2. Show that the equation is not an identity (hint: nd one number for which the equation is false: sec t = tan2 t + 1, cot(tan ) = 1 (14) 3. Find the solutions of the equation that are in the interval [0, 2 : 2 sin2 u + 3 sin u 2 = 0 page 2 of 5 pages, cos sin = 1 (10) 4. If and are acute angles such that sin = 1. 2 and tan = 3, nd : sin( + ) page 3 of 5 pages, tan( + , the quadrant containing ( + ) (8) 6. Use tha half-angle formulas to nd the exact value: sin .