rong> from the angle (it does not touch the angle).","points":1},{"id":"08a98bf5-5bdc-414b-9f12-fc299ea4e7a6","cardType":"cloze","front":"In triangle ABC, the sum of internal angles is $A + B + C = \\text{[...]}$.","back":"In triangle ABC, the sum of internal angles is $A + B + C = \\boxed{180^\\circ}$.","points":null},{"id":"6707423c-2ecc-47b8-89d7-8003e88ab413","cardType":"basic","front":"Write the version of the sine rule formula best suited for finding a missing side.","back":"$$$\\frac{a}{\\sin A} = \\frac{b}{\\sin B} = \\frac{c}{\\sin C}$$","points":1},{"id":"6da2e531-5b3b-46d7-86cc-0d00d9ad9e81","cardType":"basic","front":"Write the version of the sine rule formula best suited for finding a missing angle.","back":"$$$\\frac{\\sin A}{a} = \\frac{\\sin B}{b} = \\frac{\\sin C}{c}$$","points":1},{"id":"a14aa0bf-da53-41cb-85f4-dc000c7b8c54","cardType":"basic","front":"What calculator mode must be used for sine rule calculations in IGCSE Maths?","back":"Degrees mode.","points":1},{"id":"b24363a0-42b9-4d63-b06f-6f9ee4984df8","cardType":"basic","front":"What is the function of the inverse sine ($\\sin^{-1}$) button?","back":"It finds the angle when the sine value is already known.","points":1},{"id":"4dd82ea6-a8d9-46fc-b18f-e243f23d3a85","cardType":"basic","front":"Why should you avoid rounding the sine value halfway through a calculation?","back":"To prevent rounding errors in the final answer; keep the full value until the end.","points":2},{"id":"e6521643-b4c3-4fbc-a71d-80cb49ce0d42","cardType":"basic","front":"If you know two angles and one side, but the side is not opposite either angle, what is the first step?","back":"Calculate the third angle using $180^\\circ - (\\text{sum of known angles})$.","points":2},{"id":"5c80f035-530b-48e0-9fc0-87f80bab1f9b","cardType":"cloze","front":"The formula for the area of a non-right-angled triangle is $\\text{Area} = \\text{[...]}$.","back":"The formula for the area of a non-right-angled triangle is $\\text{Area} = \\boxed{\\frac{1}{2}ab\\sin C}$.","points":null},{"id":"147fa16d-933e-4abe-b1a6-09c6a73b2170","cardType":"basic","front":"In the area formula $\\frac{1}{2}ab\\sin C$, what is the relationship between the angle $C$ and sides $a$ and $b$?","back":"$$C$ must be the included angle (the angle between sides $a$ and $b$).","points":1},{"id":"91c5252e-3442-46aa-bd7a-e42e543f84fc","cardType":"basic","front":"What is the trigonometric identity linking the sine of an acute angle and its obtuse supplement?","back":"$$$\\sin \\theta = \\sin(180^\\circ - \\theta)$$","points":1},{"id":"93dcec14-d034-4c79-afe8-62693609f55c","cardType":"basic","front":"Define an obtuse angle.","back":"An angle greater than $90^\\circ$ and less than $180^\\circ$.","points":1},{"id":"061cab71-2c9c-46c7-afe4-456712f1e867","cardType":"basic","front":"How do you calculate the obtuse version of an angle if your calculator gives an acute result?","back":"Subtract the acute angle from $180^\\circ$.","points":1},{"id":"67179288-6538-44e8-b281-5317cddcce86","cardType":"basic","front":"How do you calculate the perimeter of a triangle after using the sine rule to find missing sides?","back":"Add all three side lengths together.","points":1},{"id":"af053c64-6f61-4f80-9970-d7a46a376dab","cardType":"cloze","front":"When finding a side length using the sine rule, it is easiest to put the [ ] on top of the fractions.","back":"When finding a side length using the sine rule, it is easiest to put the side lengths on top of the fractions.","points":null},{"id":"fe4e322d-7fa4-4045-8918-f06be06da22c","cardType":"cloze","front":"When finding an angle using the sine rule, it is easiest to put the [ ]<

The Sine Rule Flashcards

The Sine Rule Flashcards

The Sine Rule Flashcards

The Sine Rule Flashcards