- #1
kingsala
- 8
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Gents, Thanks for all the guidance in the past with my work and brothers too.
Can anyone help with these , see file attached
Can anyone help with these , see file attached
Trigonometry and Triangle Questions
- MHB
- Thread starter kingsala
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- Triangle Trigonometry
In summary, the conversation discusses various aspects of trigonometry, including the definition of sine, solving for unknown angles in a right-angled and isosceles triangle, using trigonometric ratios to solve problems, using the sine law to find unknown sides or angles, and finding the area of a triangle using trigonometry. The conversation also briefly mentions a formula for decay, which is not related to trigonometry.
- #2
SuperSonic4
Gold Member
MHB
- 190
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Edit: I have attached the PDF pages as images for those who don't wish to download a PDF attachment :)What do you know about trigonometry?
Q1) You can solve this one by using the definition of sine: \(\displaystyle \sin \theta = \frac{opp}{hyp}\) (the SOH of SOHCAHTOA if you were taught this mnenomic)
Q2) This is both a right angled and isoceles triangle. Since the sum of angles is 180 degrees and one is 90 you can find the other two (they're the same remember)
Q3) This can be solved using one of the trig ratio
Q4) Use the sine law:
Q5) Do you know how to find the area of a triangle from trig?
Q6) The usual formula for decay is \(\displaystyle A = A_0(1-r)^t\). Not sure why it's here as not trig related
Q1) You can solve this one by using the definition of sine: \(\displaystyle \sin \theta = \frac{opp}{hyp}\) (the SOH of SOHCAHTOA if you were taught this mnenomic)
Q2) This is both a right angled and isoceles triangle. Since the sum of angles is 180 degrees and one is 90 you can find the other two (they're the same remember)
Q3) This can be solved using one of the trig ratio
Q4) Use the sine law:
\(\displaystyle \dfrac{\sin A}{A} = \dfrac{\sin B}{B} = \dfrac{\sin C}{C}\)
Q5) Do you know how to find the area of a triangle from trig?
\(\displaystyle A = \frac{1}{2}ab\sin(C)\)
Q6) The usual formula for decay is \(\displaystyle A = A_0(1-r)^t\). Not sure why it's here as not trig related
Attachments
1. What is trigonometry?
Trigonometry is a branch of mathematics that deals with the study of triangles and the relationships between their sides and angles. It is used to solve problems involving right triangles and can also be applied to other shapes and objects.
2. What are the three basic trigonometric functions?
The three basic trigonometric functions are sine, cosine, and tangent. These functions represent the ratios of the sides of a right triangle and can be used to find missing angles or sides of a triangle.
3. How is trigonometry used in real life?
Trigonometry has many practical applications in fields such as engineering, physics, and astronomy. It is used to calculate distances, heights, and angles in real-world scenarios, such as measuring the height of a building or determining the trajectory of a projectile.
4. What is the Pythagorean Theorem?
The Pythagorean Theorem is a fundamental concept in trigonometry which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem can be used to solve a variety of triangle problems.
5. How do I solve a triangle using trigonometry?
To solve a triangle using trigonometry, you need to know at least three of its sides and/or angles. Then, you can use the trigonometric functions and the Pythagorean Theorem to find any missing sides or angles. It is important to label the triangle with the given information and use the appropriate trigonometric function for the given problem.
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