Page 124 - ADVANCED MATH F.5

Form Five Form Five

(d) Max. 201 + 7 3, min. − 201 + 73 ,
4 4
Maximum occurs at 83.42°, Minimum occurs at 263.42°

(e) Maximum 10, minimum − 10,
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Maximum occurs at 71.57°, Minimum occurs at 251.57°

(f) Maximum 5, minimum 5− , Maximum occurs at 36.87°,

Minimum occurs at 216.87°

(g) Maximum 17, minimum 17− , Maximum occurs at 118.07°,

Minimum occurs at 293.96°

(h) Maximum 34, minimum − 34, Maximum occurs at
30.96°, Minimum occurs at 210.96°

(i) Maximum 37, minimum − 37,

Maximum occurs at 99.46°, Minimum occurs at 279.46°

1
1
(j) Maximum , minimum − ,
2
2
Maximum occurs at 45º, Minimum occurs at 135º.
4. Maximum 13, minimum − 13 Maximum occurs at

33.69° Minimum occurs at 146.31− °

5. cosθ + 2sinθ ≡ 5 sin(θα+ ) Maximum 5, minimum − 5,

Maximum occurs at 63.43°, Minimum occurs at 116.565− °

General solutions
Teaching steps
1. Guide students through discussion to recognize the general
solution of trigonometric equations. Assist them in using
Figure 6.5 in the Student’s Book, to find the general solution
for the cosine function.

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Mathematics for Advanced Secondary Schools

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