Mathematics: Would appreciate it the angle θ lies in quadrant i . sinθ = 2/5 what is cosθ ?

Would appreciate it the angle θ lies in quadrant

Ответ:

natjon528

10.03.2022

Mathematics

The value of $\cos \theta$ is required.

The value of $\cos\theta=\dfrac{\sqrt{21}}{5}$

$\sin \theta=\dfrac{2}{5}$

We have the identity

$\sin^2\theta+\cos^2\theta=1\\\Rightarrow \cos\theta=\sqrt{1-\sin^2\theta}\\\Rightarrow \cos\theta=\sqrt{1-\left(\dfrac{2}{5}\right)^2}\\\Rightarrow \cos\theta=\sqrt{\dfrac{21}{25}}=\dfrac{\sqrt{21}}{5}$

The value of $\cos\theta=\dfrac{\sqrt{21}}{5}$

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Ответ:

lovemyboys0404pc662e

10.03.2022

Mathematics

cosΘ = $\frac{\sqrt{21} }{5}$

Step-by-step explanation:

using the trigonometric identity

• sin²Θ + cos²Θ = 1 , hence

cosΘ = ± $\sqrt{1-sin^2Θ}$

Since Θ is in the first quadrant then cosΘ > 0

cosΘ = $\sqrt{1-(2/5)^2}$

= $\sqrt{1-4/25}$ = $\sqrt{21/25}$ = $\frac{\sqrt{21} }{5}$

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Ответ:

payshencec21

13.01.2022

Mathematics

4.61 lbs

Step-by-step explanation:

30=6.5+x (x is the value in pounds)

Therefore x=4.61 lbs or pounds

So she cant buy tomotoes that weighs more than 4.61 lbs, since she cant spend more than $30

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Would appreciate it the angle θ lies in quadrant i . sinθ = 2/5 what is cosθ ?

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