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fenix001 [56]
3 years ago
14

A rectangular lawn 70m by 50m has two cross roads each 6m wide running in the

Mathematics
1 answer:
ser-zykov [4K]3 years ago
6 0
Area of road =70*50=3500
3500*2=7000 because it has cross road
6*6=36
7000-36=6964
6964*5.50=38302
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23/2

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Find sin 2x, cos 2x, and tan 2x from the given information.<br> cscx=4,tanx&lt;0.
lutik1710 [3]

Answer:

Step-by-step explanation:

Given the expression cosec (x) = 4 and tan(x)< 0

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sinθ = opposite/hypotenuse

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to get the adjacent, we will use the Pythagoras theorem

adj² = 4²-1²

adj² = 16-1

adj ²= 15

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tanx = opposite/adjacent = 1/√15

since tan < 0, then tanx = -1/√15

From double angle formula;

sin2x = 2sinxcosx

sin2x = 2(1/4)(√15/4)

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sin2x = √15/8

for cos2x;

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cos2x = 1-2(1/4)²

cos2x = 1-2(1/16)

cos2x= 1-1/8

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for tan2x;

tan2x  = tanx + tanx/1-tan²x

tan2x = 2tanx/1-tan²x

tan2x = 2(-1/√15)/1-(-1/√15)²

tan2x = (-2/√15)/(1-1/15)

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tan2x = -2/√15 * 15/14

tan2x = -30/14√15

tan2x = -30/7√15

rationalize

tan2x =  -30/7√15 * √15/√15

tan2x =  -30√15/7*15

tan2x =  -2√15/7

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3 years ago
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