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FinnZ [79.3K]
3 years ago
11

What is the decrease in 15.60 to 11.70

Mathematics
1 answer:
zvonat [6]3 years ago
6 0
3.9 is your answer hope it helps
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4 years ago
Angle θ lies in the second quadrant, and sin θ = 3/5.<br> cos θ = <br><br> tan θ =
storchak [24]

Answer:


cos\Theta =\frac{4}{5}



tan\Theta =\frac{3}{4}


Step-by-step explanation:

Given : sin θ = 3/5

To Find : value of cos θ and tan θ

Solution :

use the identity:


sin^{2}\Theta +cos^{2}\Theta =1


putting value of sin θ


⇒ (\frac{3}{5})^{2} + cos^{2}\Theta =1


⇒\frac{9}{25} +cos^{2}\Theta =1


⇒cos^{2}\Theta = 1-\frac{9}{25}


⇒cos^{2}\Theta = \frac{16}{25}


⇒cos\Theta = \sqrt{\frac{16}{25}}


⇒cos\Theta =\frac{4}{5}


Thus , cos\Theta =\frac{4}{5}

Now to find value of tan θ


Since we know that


⇒ tan\Theta =\frac{sin\Theta }{cos\Theta }   (identity)


⇒tan\Theta =\frac{\frac{3}{5} }{\frac{4}{5} }


⇒tan\Theta =\frac{3}{5}\div \frac{4}{5}


⇒tan\Theta =\frac{3}{5}\times  \frac{5}{4}


⇒tan\Theta =\frac{3}{4}


Thus , the value of


tan\Theta =\frac{3}{4}


cos\Theta =\frac{4}{5}



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