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- 1. Multiple Choice
Please select the correct solutioncsc2 xcot2 xsin2 xsec2 x - 2. Multiple ChoicePlease select the correct solution
cos 2 x + sin 2 x=1csc 2 x + sec 2 xsin 2 x1 - sin 2 x - 3. Multiple ChoicePlease select the correct solutioncsc xsec xcot xtan x
- 4. Multiple ChoiceSimplifysin²θcosθtanθ1- sin²θ
- 5. Multiple ChoiceSimplify-1sin θcsc θ1
- 6. Multiple Choice
Simplify (Hint: you will need to FOIL first)
sinθ
cot²θ
tan²θ
cos²θ
- 7. Multiple ChoiceSimplify: tanxcotx-cos2xtanxcotxsin2xcos2x
- 8. Multiple ChoiceIs this a pythagorean identity?
tan2x + 1 = secxYesNo - 9. Multiple ChoiceRewrite tan(x) in terms of sin(x) and cos(x).tan(x) = cos(x)/sin(x)tan(x) = 1/cot(x)tan(x) = sin(x)/cos(x)tan(x) = opp/adj
- 10. Multiple ChoiceSimplifycsc²θsec²θcscθ1
- 11. Multiple Choice1/cos x1cot x-1
- 12. Multiple ChoiceWhich of the following is NOT
a solution to
sin θ = √(3) / 2 ?π / 32π / 35π / 37π / 3 - 13. Multiple ChoiceSolve sinθ = ½ on θ∈[0, 2π)θ = π / 6, 7π / 6θ = π / 6, 5π / 6θ = 5π / 6, 7π / 6θ = 7π / 6, 11π / 6
- 14. Multiple ChoiceWhich of these is NOT
a solution to
tan θ = 0 ?θ = 0θ = π /2θ = πθ = 2π - 15. Multiple ChoiceSolve on the Interval [0,2π)
tan(x)+1=20 and π3π/4 and 7π/4π/4 and 5π/43π/4 and 5π/4 - 16. Multiple ChoiceNo solutionπ/3 +2πn, 5π/3 +2πnπ/6 +2πn, 11π/6 +2πn2π/3 +2πn, 4π/3 +2πn
- 17. Multiple Choice2 sinθ+3=2π/6,2π/37π/67π/6, 11π/6
- 18. Multiple ChoiceSolve on the domain [0, 2π)
4sin2x = 3π/6, 11π/6π/3, 2π/3π/6, 5π/6, 7π/6, 11π/6π/3, 2π/3, 4π/3, 5π/3 - 19. Multiple Choice
Solve for x
don't forget cot = cos/sin
π
π/3
π/2
-π
- 20. Multiple Choice
Solve for the unknown variable on the interval 0≤x<2π
2sin2x - sinx - 3 = 0
No solution
3π/2
0
- Answer choicesTagsAnswer choicesTags