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grin007 [14]
3 years ago
11

Simplify the trigonometric expression sec theta cos theta a. tan theta b. 1 c. cot theta d. sin theta

Mathematics
1 answer:
Rus_ich [418]3 years ago
4 0
Question:<u /> <em>Simplify the trigonometric expression sec</em><span><em>Өcos</em></span><span><em>Ө.</em></span>

For each of the three basic trig functions, (sin, cos, tan) there are three more which act as their reciprocals. (csc, sec, and cot respectively)

Reciprocals, of course, are flipped fractions. If you have some number x, the reciprocal can be expressed as \frac{1}x.

An important property of reciprocals is that if you mutliply them together they will cancel out--take \frac{4}7\times\frac{7}4 for example.

Since sec<span>Ө is literally <em>defined</em> as the reciprocal of cos</span><span>Ө, it is evident that
\boxed{\sec\Theta\cos\Theta=1}</span>
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vladimir2022 [97]

Answer:

x=3

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

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4.5        6

Using cross products

6x = 4.5 * 4

6x =18

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6x/6 = 18/6

x = 3

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3 years ago
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lora16 [44]

Answer is provided in the image attached.

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Which are solutions of the equation 4x2 – 7x = 3x + 24? Check all that apply.
SCORPION-xisa [38]

Answer:

{-3/2, 4}

Step-by-step explanation:

Use synthetic division here.  If the remainder is 0, then the divisor is a root or solution.

Here we have x = -4.  Perform the synthetic division as follows:

-4       4     -10    -24

                 -16     108

------------------------------

          4      -26     84              The remainder is 84, which tells us -4 is NOT

                                                a root/solution.

Try -3/2 as divisor this time:

-3/2    4     -10    -24

                   -6    24

------------------------------

          4      -16       0            Remainder is 0, so -3/2 is a solution

Show in the same manner that 4 is a solution also.  Or determine whether x - 4 satisfies 4x - 16 = 0 (it does).

8 0
4 years ago
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Geometry (15)<br><br> What are the properties of the incenter of a triangle?
aleksklad [387]
The incenter of a triangle is equidistant from all sides of the triangle

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The incircle will be tangent to all sides of the triangle.

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In an equilateral triangle the incenter, circumcenter, and centroid are all the same

3 0
4 years ago
Determine if the triangles in each pair are similar. If so, create a flowchart proof, If not, explain how you know.
olga_2 [115]

Answer:

∆<em>LMN</em> ~ ∆<em>LQR</em>

Step-by-step explanation:

All you have to do is match their similar corresponding angles.

* These are congruent by the Angle-Angle Similarity Postulate, where at least two angles of both triangles are congruent, which in this case is ∠<em>L</em> [Vertical Angles Theorem] and ∠<em>Q</em> & ∠<em>M</em>. This obviously gives us our third side in each triangle, which must sum up to 180° altogether, therefore you have your answer.

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