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Ainat [17]
3 years ago
13

Points P. Q. and S are on a circle. The measure of arc PQ is 58°What is the measure of arc PSQ?​

Mathematics
1 answer:
Lisa [10]3 years ago
5 0

Answer:

<h2>The arc PSQ is 302°.</h2>

Step-by-step explanation:

We know that the total length of the circumference is 360°. In this case, that total is divide in two arcs PQ and PSQ, so

PQ+PSQ=360\°

Replacing given values, we have

PSQ=360-58=302\°

Therefore, the arc PSQ is 302°.

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marissa [1.9K]

Answer:

option b)

tan²θ + 1 = sec²θ

Step-by-step explanation:

The Pythagorean trigonometric identity is a trigonometric identity expressing the Pythagorean theorem in terms of trigonometric functions.

hypotenuse² = height² + base²

Given in the questions are some pythagorus identities which except of b) are all incorrect as explained below.

<h3>1)</h3>

sin²θ + 1 = cos²θ     incorrect

<h3>sin²θ + cos²θ = 1 correct</h3><h3 /><h3>2)</h3>

by dividing first identity by cos²θ

sin²θ/cos²θ + cos²θ/cos²θ = 1/cos²θ

<h3>tan²θ + 1 = sec²θ  correct</h3><h3 /><h3>3)</h3>

1 - cot²θ = cosec²θ  incorrect

by dividing first identity by sin²θ

sin²θ/sin²θ + cos²θ/sin²θ = 1/sin²θ

<h3>1 + cot²θ = cosec²θ correct</h3><h3 /><h3>4)</h3>

1 - cos²θ  = tan²θ

not such pythagorus identity exists

4 0
3 years ago
Read 2 more answers
Which equation can be used to find the unknown length, b, in this triangle?​
Paha777 [63]

Answer:

use pythagorean theorem

Step-by-step explanation:

a^2+b^2=c^2

8 0
3 years ago
Select the correct answer.
Lostsunrise [7]

Answer:

d

Step-by-step explanation:

3 0
3 years ago
Construct a circle with a radius of 8cm, and draw an equilateral triangle inside it. Make sure the length of each side measures
Ipatiy [6.2K]

Answer:

<u>Diagram 1</u>

Draw a circle with a radius of 8 cm, ensuring you have clearly marked the center point (black circle with center C1)

Add a point on the circumference of the circle (point C2)

Draw a second circle of radius 8cm with point C2 as its center (red circle with center C2).

<u>Diagram 2</u>

The red circle intersects the black circle at two points (D and E).

Connect these 2 points of intersection with a line segment.

<u>Diagram 3</u>

Draw a third circle with center D and radius DE (shown in blue)

This circle intersects the black circle at point F.

<u>Diagram 4</u>

Draw 2 line segments to connect points D and E with point F - this is your equilateral triangle inside the circle!

8 0
2 years ago
The sides of One World Trade Center in New York City form
tester [92]

The value of ∠BAC in the isosceles triangle is 9.7°

<h3>Cosine rule</h3>

Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:

a² = b² + c² - 2bc*cos(A)

where a, b, c are the sides of the triangle and A, B, C are the angles opposite the sides.

AB = AC = 1185 (isosceles), BC = 200, let ∠BAC = x°, hence:

200² = 1185² + 1185² - 2(1185)(1185)cos(x)

2(1185)(1185)cos(x) = 2808450

cos(x) = 0.9857

x = 9.7°

The value of ∠BAC in the isosceles triangle is 9.7°

Find out more on Cosine rule at: brainly.com/question/7872492

7 0
2 years ago
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