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san4es73 [151]
3 years ago
12

Two angles are supplementary the measure of one angle is 4 times the measure of the other angle what is the measure of the small

er angle
Mathematics
1 answer:
noname [10]3 years ago
7 0
X + y = 180
x = 4y 
Plug that in and you get: 4y + y = 180
5y = 180
y = 36

If you want the larger angle, simply plug in y to x = 4y
So: x = 4(36) = 144

The smaller angle is 36 degrees, and the larger angle is 144 degrees.
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Describe and correct the error in finding csc θ, given that θ is an acute angle of a right triangle and cos θ =7/11
a_sh-v [17]

Answer:

<h2>cosecθ = 1/sinθ = 11/6√2</h2>

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Given that  cos θ =7/11, cosec θ = 1/sinθ in trigonometry.

Based on SOH, CAH, TOA;

cosθ = adjacent/hypotenuse = 7/11

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Since sinθ = opp/hyp, we need to get the opposite to be able to calculate sinθ.

Using pythagoras theorem to get the opposite;

hyp^{2} = adj^{2}  + opp ^{2}  \\opp = \sqrt{hyp^{2} - adj^{2}  } \\opp = \sqrt{11^{2} - 7^{2}} \\opp = \sqrt{72} \\opp = 6\sqrt{2}

sinθ = 6√2/11

cosecθ = 1/sinθ = 1/( 6√2/11)

cosecθ = 1/sinθ = 11/6√2

Note the error; cscθ\neq 1/cosθ but cscθ = 1/sinθ

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