Question

sin^2 x+cos^2 30=5/4. Find x

Answer 1

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X = 45°

Step-by-step explanation:

sin²x + cos²30 = 5/4

⇒sin²x + (√3/2)² = 5/4

⇒sin²x = 5/4 - 3/4

⇒sin²x = 2/4

⇒sin²x = 1/2

⇒sin x = 1/√2

⇒sin x = sin 45° (∵the value of sin 45° is 1/√2)

∴ x = 45°

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