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mr_godi [17]
1 year ago
7

Find the exact value of each expression. sin0 , if cos 0 =3/5 and 270° ≤0 ≤360°

Mathematics
1 answer:
Artyom0805 [142]1 year ago
4 0

\text{Given that,}\\\\~~~~~~~~\cos \theta = \dfrac 35\\\\\implies \cos^2 \theta = \dfrac 9{25}\\\\\implies 1-\sin^2 \theta = \dfrac{9}{25}\\\\\implies \sin^2 \theta = 1-\dfrac{9}{25}\\\\\implies \sin^2 \theta = \dfrac{16}{25}\\\\\implies \sin \theta = \pm\sqrt{\dfrac{16}{25}}\\\\\implies \sin \theta = \pm\dfrac 45\\\\\text{Given that,}~ 270^{\circ} \leq \theta  \leq 360^{\circ}, \text{So}~ \theta ~ \text{lies in fourth quadrant.}\\\\

\text{Which means that}~ \sin \theta ~ \text{will be negative.}\\\\\text{Hence,}~ \sin \theta = -\dfrac 45

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Ahhhh help everyone help me solve this ....​
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Answer:

y =  \frac{18 {w}^{2}  {x}^{2}  {z}^{2} }{25}

Step-by-step explanation:

\frac{3wx}{ \sqrt{2y} }  =  \frac{5}{2z}  \\  \\  \sqrt{2y}  \times 5 = 3wx \times 2z \\  \\  \sqrt{2y}   \times 5 = 6wxz \\  \\  \sqrt{2y}  =  \frac{6wxz}{5}  \\  \\  {( \sqrt{2y} })^{2}  =  {( \frac{6wxz}{5} })^{2}  \\  \\ 2y =  \frac{36 {w}^{2} {x}^{2} {z}^{2}   }{25}  \\  \\  \\  y =  \frac{36 {w}^{2} {x}^{2}  {z}^{2}  }{25}  \div 2 \\  \\  \\ y =  \frac{36 {w}^{2} {x}^{2} {z}^{2}   }{25}  \times  \frac{1}{2}  \\  \\  \\ y =  \frac{36 {w}^{2} {x}^{2}  {z}^{2}  }{50}  \\  \\  \\ y =  \frac{18 {w}^{2} {x}^{2}   {z}^{2} }{25}

I hope I helped you^_^

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3 years ago
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What value of a satisfies the following equation?<br><br> -2(a + 3) = -4a + 32
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Answer:

a = 19

Step-by-step explanation:

-2(a + 3) = -4a + 32

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<u> +2a        +2a       </u>

-6 = -2a + 32

<u>-32         -32</u>

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divide by -2

<u><em>a = 19</em></u>

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Step-by-step explanation:

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