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This transcript covers topics in trigonometry, Pythagoras theorem, angles in parallel lines, and frequency trees. It includes various mathematical problems and their solutions, focusing on SOHCAHTOA, Pythagoras theorem applications, and basic probability concepts.
24/01/2024
323
SOHCAHTOA is a mnemonic device used to remember the trigonometric ratios in right-angled triangles. This page demonstrates how to apply these ratios to solve various problems.
Definition: SOHCAHTOA stands for Sine = Opposite / Hypotenuse, Cosine = Adjacent / Hypotenuse, Tangent = Opposite / Adjacent.
The page shows several examples of using SOHCAHTOA to find unknown lengths and angles in right-angled triangles. For instance, one problem involves finding the length of a side using the sine function:
Example: Sin(36°) = x / 20, where x is the opposite side and 20 is the hypotenuse. Solving this equation gives x ≈ 11.7 cm.
Another example demonstrates the use of the tangent function:
Example: tan(42°) = x / 11, where x is the opposite side and 11 is the adjacent side. The solution is x ≈ 9.9 cm.
The page also includes a problem using the cosine function to find an angle:
Example: cos(x) = 11 / 16, where x is the unknown angle. Using the inverse cosine function, we find x ≈ 46.4°.
These examples highlight the practical application of SOHCAHTOA in solving trigonometry pythagoras foundation exam questions.
This page covers two important geometric concepts: the Pythagoras theorem and angles in parallel lines.
The Pythagoras theorem is used to find unknown side lengths in right-angled triangles.
Definition: In a right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides (a² + b² = c²).
An example problem demonstrates how to use the theorem:
Example: In a right-angled triangle with sides 36 cm and 48 cm, the hypotenuse is calculated as √(36² + 48²) ≈ 60 cm.
The page also covers angles in parallel lines, showing how to determine unknown angles based on the properties of parallel lines intersected by a transversal.
Highlight: Vertically opposite angles are equal, and alternate angles are equal in parallel lines.
These concepts are essential for solving combined Pythagoras and trigonometry exam questions and are frequently found in Pythagoras and trigonometry exam questions GCSE.
SOHCAHTOA and the Pythagoras theorem are fundamental concepts in trigonometry and geometry, crucial for solving problems involving triangles and angles. This guide covers these topics along with related concepts such as angles in parallel lines and frequency trees.
Key points:
15
299
10/11
What is Trigonometry and how to solve it
If you have any questions then please feel free to message me,I am learning trigonometry aswell so any tips would be appreciated.If your struggling with trigonometry then corbettmaths.com has practice questions and answers on different slides.
24
447
S4
trigonometry and quadratics
area of triangle, triangle trig, sine rule, angel sine rule, 2 part sine rule, bearings, cosine rule, angel cosine rule. QUADRATICS- quadratic functions, quadratic graphs,
7
304
S3/S4
Sin and Cos rules
made for N5 maths. Please check my page for more N5 maths topics.
4
155
S4
Non-calculator Trig - National 5 Maths
jotter scan from the topic non-calculator trig from the national 5 maths course. Includes worked examples :)
6
436
S4/S5
Entire Nat 5 Maths Notes (Part 2): Applications
Part 2 of all the notes for National 5 Maths (adjusted for Covid so some topics may be missing)
7
623
10/11
math 2020 3 past paper mark scheme
for gcse
Average app rating
Pupils love Knowunity
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Students have uploaded notes
iOS User
Philip, iOS User
Lena, iOS user
lay
@www.soul.net
·
4 Followers
Follow
This transcript covers topics in trigonometry, Pythagoras theorem, angles in parallel lines, and frequency trees. It includes various mathematical problems and their solutions, focusing on SOHCAHTOA, Pythagoras theorem applications, and basic probability concepts.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
SOHCAHTOA is a mnemonic device used to remember the trigonometric ratios in right-angled triangles. This page demonstrates how to apply these ratios to solve various problems.
Definition: SOHCAHTOA stands for Sine = Opposite / Hypotenuse, Cosine = Adjacent / Hypotenuse, Tangent = Opposite / Adjacent.
The page shows several examples of using SOHCAHTOA to find unknown lengths and angles in right-angled triangles. For instance, one problem involves finding the length of a side using the sine function:
Example: Sin(36°) = x / 20, where x is the opposite side and 20 is the hypotenuse. Solving this equation gives x ≈ 11.7 cm.
Another example demonstrates the use of the tangent function:
Example: tan(42°) = x / 11, where x is the opposite side and 11 is the adjacent side. The solution is x ≈ 9.9 cm.
The page also includes a problem using the cosine function to find an angle:
Example: cos(x) = 11 / 16, where x is the unknown angle. Using the inverse cosine function, we find x ≈ 46.4°.
These examples highlight the practical application of SOHCAHTOA in solving trigonometry pythagoras foundation exam questions.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page covers two important geometric concepts: the Pythagoras theorem and angles in parallel lines.
The Pythagoras theorem is used to find unknown side lengths in right-angled triangles.
Definition: In a right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides (a² + b² = c²).
An example problem demonstrates how to use the theorem:
Example: In a right-angled triangle with sides 36 cm and 48 cm, the hypotenuse is calculated as √(36² + 48²) ≈ 60 cm.
The page also covers angles in parallel lines, showing how to determine unknown angles based on the properties of parallel lines intersected by a transversal.
Highlight: Vertically opposite angles are equal, and alternate angles are equal in parallel lines.
These concepts are essential for solving combined Pythagoras and trigonometry exam questions and are frequently found in Pythagoras and trigonometry exam questions GCSE.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
SOHCAHTOA and the Pythagoras theorem are fundamental concepts in trigonometry and geometry, crucial for solving problems involving triangles and angles. This guide covers these topics along with related concepts such as angles in parallel lines and frequency trees.
Key points:
Maths - What is Trigonometry and how to solve it
If you have any questions then please feel free to message me,I am learning trigonometry aswell so any tips would be appreciated.If your struggling with trigonometry then corbettmaths.com has practice questions and answers on different slides.
15
299
1
Maths - trigonometry and quadratics
area of triangle, triangle trig, sine rule, angel sine rule, 2 part sine rule, bearings, cosine rule, angel cosine rule. QUADRATICS- quadratic functions, quadratic graphs,
24
447
0
Maths - Sin and Cos rules
made for N5 maths. Please check my page for more N5 maths topics.
7
304
0
Maths - Non-calculator Trig - National 5 Maths
jotter scan from the topic non-calculator trig from the national 5 maths course. Includes worked examples :)
4
155
0
Maths - Entire Nat 5 Maths Notes (Part 2): Applications
Part 2 of all the notes for National 5 Maths (adjusted for Covid so some topics may be missing)
6
436
0
Maths - math 2020 3 past paper mark scheme
for gcse
7
623
0
Average app rating
Pupils love Knowunity
In education app charts in 12 countries
Students have uploaded notes
iOS User
Philip, iOS User
Lena, iOS user
