8/8/2019 Trig Equations - Weekly Review
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IB WEEKLY REVIEW Trigonometric Functions
[N02/520/S(1) #14]
1. Consider the trigonometric equation xx cos1sin2 2 ! .
(a) Write this equation in the form 0)( !xf , where cxbxaxf ! coscos)(2
, and a,b, and c > .
(b) Factorize )(xf .
(c) Solve 0)( !xf for 0 < x < 360.
[M04/521/S(1) #9] and [M04/522/S(1) #9]
2. Solve the equation xx 2sincos2 2 ! for Tee x0 , giving your answer in terms ofT .
[M02/520/S(1) #8]
3. Let xxf 2sin)( ! and )5.0sin()( xxg ! .
(a) Write down(i) the minimum value of the functionf.(ii) the period of the functiong.
(b) Consider the equationf(x) =g(x).
Find the number of solutions to this equation for2
30
Tee x .
[SPEC00/520/S(1) #12]
4. (a) Express xx sincos2 2 in terms of xsin only.
(b) Solve the equation 2sincos2 2 ! xx forx in the interval 0