Mathematics: Given that sin∅ = 1/4, 0 ∅ π/2, what is the exact value of cos∅? a. (√4)/4 b. (√15)/4 c. (4π)/2 d. (4√2)/4

Given that sin∅ = 1/4, 0 ∅ π/2, what is the exact

neemy

09.03.2022

Step-by-step explanation:

Using the trigonometric identity

• sin²x + cos²x = 1 , hence

cosx = ± $\sqrt{1-sin^2x}$

cosΦ > 0 for 0 < Φ < $\frac{\pi }{2}$

cosΦ = $\sqrt{1-(\frac{1}{4})^2 }$ = $\sqrt{1-\frac{1}{16} }$ = $\sqrt{\frac{15}{16} }$ = $\frac{\sqrt{15} }{4}$ → b

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Dweath50

26.11.2021

30% is 24
45% is 36
take 15% and multiply it by however much it takes to make the percentage than multiply that by 12

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