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
Answer:
use pythagorean theorem
Step-by-step explanation:
a^2+b^2=c^2
Answer:
d
Step-by-step explanation:
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!
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