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secondary 3 | A Maths
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need help with part b. think there’s something wrong when i use R formula. thank you
square at both sides
- 2 ∙ cos(x) ∙ sin(x) + cos²x + sin²x = 2
cos(x) ∙ sin(x) = -½
square at both sides
cos²x ∙ sin²x = ¼
(1 - sin²x) ∙ sin²x = ¼
sin²x = a
(1 - a) ∙ a = ¼
4a² - 4a + 1 = 0
(2a-1)² = 0
a = ½ = sin²x
sin(x) = ±√½
x₁ = 45° ✗✗
x₂ = 315° ✓✓
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