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defon
3 years ago
15

Can a triangle have to acute angles and one obtuse angle

Mathematics
2 answers:
Tomtit [17]3 years ago
7 0

Answer:

  yes

Step-by-step explanation:

<em>Any obtuse triangle will also have two acute angles</em>.

__

The sum of angles in a triangle is 180°. If one of the angles is 90° or more (a right or obtuse angle), the other two (non-zero) angles must be less than 90°.

An obtuse triangle is one that has an obtuse angle, so both of the remaining angles must be less than 90°, that is, they must be acute angles.

adell [148]3 years ago
5 0

Answer:

Yes

Step-by-step explanation:

Example:

A triangle with angles: 100°, 50°, 30°

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Let (-7, 2) be a point on the terminal side of 0.
nekit [7.7K]

By applying the definitions of <em>trigonometric</em> functions, the <em>exact</em> values of the sine, secant and tangent of the point on the <em>terminal</em> side are \sin \theta = \frac{2}{\sqrt{53}}, \sec \theta = -\frac{\sqrt{53}}{7} and \tan \theta = -\frac{2}{7}.

<h3>How to determine the exact values</h3>

In this question we need to find the exact values of three <em>trigonometric</em> functions associated with the <em>terminal</em> side of an angle. The following definitions are used:

Sine

\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}     (1)

Secant

\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}     (2)

Tangent

\tan \theta = \frac{y}{x}     (3)

If we know that x = - 7 and y = 2, then the exact values of the three <em>trigonometric</em> functions:

Sine

\sin \theta = \frac{2}{\sqrt{53}}

Secant

\sec \theta = -\frac{\sqrt{53}}{7}

Tangent

\tan \theta = -\frac{2}{7}

By applying the definitions of <em>trigonometric</em> functions, the <em>exact</em> values of the sine, secant and tangent of the point on the <em>terminal</em> side are \sin \theta = \frac{2}{\sqrt{53}}, \sec \theta = -\frac{\sqrt{53}}{7} and \tan \theta = -\frac{2}{7}.

<h3>Remark</h3>

The statement reports typing errors, correct form is shown below:

<em>Let (x, y) = (- 7, 2) be a point on the terminal side of θ. Find the exact value of sin θ, sec θ and tan θ.</em>

To learn more on trigonometric functions: brainly.com/question/6904750

#SPJ1

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2 years ago
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