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scoundrel [369]
3 years ago
9

Prove that tanx+secx/ secx (1+ tanx/secx)=1

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

We need to prove that tanx + secx =   secx(1 + tanx / secx) (because their quotient = 1).

Taking the right side of the identity:

secx(1 + tanx / secx)     Distributing the sec x we get:

secx + tanx = the left side.

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factor the numerator and denominator and cancel the common factors

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An airplane flies 2700 miles in 3 hours and 45 minutes. What is its average speed in miles per hour?
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6 0
3 years ago
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Interior exterior or neither
svlad2 [7]

Option A: The point W lies in the interior of ∠TUV

Explanation:

The interior of an angle is the area between the rays that make up an angle, and extending away from the vertex to infinity.

In the given figure, we can see that the rays are UT and UV which makes an angle at U.

Since, W is the point which lies in the area between the rays UT and UV that make an angle at U which is extending away from the vertex to infinity.

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Hence, Option A is the correct answer.

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M∠3=<br><br> a) 44<br> b) 88<br> c) 136
Citrus2011 [14]

Answer:

m\angle 3=136^{\circ}

Step-by-step explanation:

We are given that

Measure of intercepted arc are

46^{\circ},42^{\circ}

We have to find the measure of angle 3.

We know that

Internal angle=half the sum of measures of its intercepted arc.

Using this property

Measure of angle 4=\frac{1}{2}(46+42)=44^{\circ}

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Substitute the values then we get

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m\angle 3=180-44=136^{\circ}

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