PRECALCULUS, Trigonometric identities

PRINT 1,/ 4.4.3 Practice: Trigonometric Identities Practice Assignment Precalculus Sem 2 ($3907497) Chuyun He Points possible: 50 Date: _ Answer the following questions using what you've learned from this unit. Write your responses in the space provided. For questions 1 - 5, decide whether the equation is a trigonometric identity. Explain your reasoning. 1. cost x(1 +tan* x) = 1 (3 points) 2. sec xtanx(1- sin? x) - sinx (3 points)\fFor questions 6 - 9, prove the following trigonometric identities. sece - csco 6. tane (3 points) Calculation Reason (sec x+tan x) 1- sinx - 1 7. COSX (3 points) Calculation Reason2 8. VS cosx + sin x - - sec (3 points) Calculation Reason 9. Prove tan sing 1+ cose for & in quadrant 1 by filling in the reasons below. (3 points) Calculation ReasonFor questions 10 - 14, solve the following equations. 10. - sin' x = 2cosx-2 (2 points) 11. 2 sin(2x) -2six+2v3 cosx-