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Unit 7 Trigonometric Equations and Identities Flashcards | StudBud
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Unit 7 Trigonometric Equations and Identities
Unit 7 Trigonometric Equations and Identities
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Answers
1
Simplify the expression: cos
2
(28*)-sin(28*)
28sin(2)-cos(28)
26cos(2)-sin(28)
28cos(2)-sin(28)
28cos(2)-sin(24)
2
Find the exact value of cos(7π/12) (round to the hundredths place)
-0.25
-0.2658
-0.26
-0.25881904
3
How do you prove an identity?
Choose a Side, Use Trig Ratios, Simplify, and convert functions
Convert trig ratios then solve
Solve and simplfy
Choose a Side and use Trig Ratios
4
Find solutions for 2sin(π/4x)=1
x=2/3+8n, 10/3+8n
x=3/4+7n, 6/2+9n
x=6/2+n, 10/4+6n
x=4/1+4n, 8/2+4n
5
Trigonometric identities involve _____ functions
trignometric
Trigonometry
Inverse
rational
6
What is 2cos(θ)=-√2 if the interval is 0≤θ<2π?
θ=3π/3, 4π/3
θ=3π/4, 5π/4
θ=2π/4, 6π/4
θ=π/5, 4π/5
7
What is 2sin(θ)=-1 if the interval is 0≤θ<2π?
θ=5π/6, 9π/6
θ=6π/6, 10π/6
θ=7π/6, 11π/6
θ=7π/4, 11π/4
8
Find the exact value of sin(75*) (round to the hundrenths place.
0.9
0.97
0.9659
0.95649
9
Prove the identity (sin t-cos t)
2
=1-sin(2t)
t=π/4+πn
t=π/3+πn
t=π/6+πn
No solution
10
What is an identity?
An equation true to find values of variables
An equation that is not true for all allowable values
An equation that is true of the variables involved
An equation that is true for all allowable values of the variables involved