8cb-ae46-4db2-a682-3d968cb41006","cardType":"basic","front":"What is the minimum information required to use the sine rule?","back":"

One complete opposite pair (side and angle)
One other side or angle

","points":2},{"id":"6fff3fa4-3c7c-48af-91f2-6dd62cd79249","cardType":"basic","front":"What calculation should be performed first if a triangle has two known angles and one side?","back":"Find the third angle using the $180^\text{o}$ sum rule.","points":2},{"id":"c222ef0a-2021-4edc-91bb-faee07900135","cardType":"cloze","front":"When using the sine rule, ensure your calculator is in [ ] mode.","back":"When using the sine rule, ensure your calculator is in degrees mode.","points":null},{"id":"f6885c4e-3a35-4528-bac9-da73ff946f61","cardType":"basic","front":"When calculating a missing side, how should the sine rule formula be arranged?","back":"Side lengths on top: $\\frac{a}{\\sin A} = \\frac{b}{\\sin B}$","points":1},{"id":"71a2d39a-fd20-4bef-bf00-a87494cf2821","cardType":"basic","front":"When calculating a missing angle, how should the sine rule formula be arranged?","back":"Sines on top: $\\frac{\\sin A}{a} = \\frac{\\sin B}{b}$","points":1},{"id":"1798bd6c-e847-49c0-9eeb-fb69ac2afd8a","cardType":"cloze","front":"To find a missing side, the formula is: $\\frac{\\text{[...]}}{\\sin A} = \\frac{b}{\\sin B}$","back":"To find a missing side, the formula is: $\\frac{\\boxed{a}}{\\sin A} = \\frac{b}{\\sin B}$","points":null},{"id":"df2b5383-18c0-403b-993e-738c576c68ae","cardType":"cloze","front":"To find a missing side, the formula is: $\\frac{a}{\\text{[...]}} = \\frac{b}{\\sin B}$","back":"To find a missing side, the formula is: $\\frac{a}{\\boxed{\\sin A}} = \\frac{b}{\\sin B}$","points":null},{"id":"2c1c547b-c66f-4cdb-9e5d-16587ae678c3","cardType":"cloze","front":"To find a missing angle, the formula is: $\\frac{\\text{[...]}}{a} = \\frac{\\sin B}{b}$","back":"To find a missing angle, the formula is: $\\frac{\\boxed{\\sin A}}{a} = \\frac{\\sin B}{b}$","points":null},{"id":"7fec63fb-dfed-446d-9d43-050db145d26b","cardType":"cloze","front":"To find a missing angle, the formula is: $\\frac{\\sin A}{\\text{[...]}} = \\frac{\\sin B}{b}$","back":"To find a missing angle, the formula is: $\\frac{\\sin A}{\\boxed{a}} = \\frac{\\sin B}{b}$","points":null},{"id":"2388c1fb-9349-492b-95c4-4d48e3ef2392","cardType":"basic","front":"What is the purpose of the inverse sine ($\\sin^{-1}$) function in this topic?","back":"To find an angle from its sine value.","points":1},{"id":"d2fa635d-10cc-4b2e-854b-2a08170f27d5","cardType":"basic","front":"Why should side lengths be kept as full calculator values until the final step?","back":"To prevent rounding errors in the final perimeter or area.","points":2},{"id":"15c29b2f-97d5-40da-b7b8-2a0d92042e7a","cardType":"basic","front":"What are the two steps to find the perimeter of a triangle using the sine rule?","back":"

Calculate all missing side lengths
Add all three sides together

","points":2},{"id":"2a9d1642-9fca-4804-abed-e6ce0304b655","cardType":"basic","front":"What is the formula for the area of a non-right-angled triangle?","back":"$$\\text{Area} = \\frac{1}{2}ab\\sin C$","points":1},{"id":"1ea33514-520d-45cc-9e2f-5cc2c291a63b","cardType":"basic","front":"In the area formula $\\frac{1}{2}ab\\sin C$, what does C represent?","back":"The included angle (the angle between sides $a$ and $b$).","points":1},{"id":"567cbda6-94c0-4687-9f5b-171a98e9348d","cardType":"cloze","front":"In the ambiguous case, the identity used to find obtuse angles is $\\sin \\theta = \\sin(\\text{[...]})$.","back":"In the ambiguous case, the identity used to find obtuse angles is $\\sin \\theta = \\si

The Sine Rule Flashcards

The Sine Rule Flashcards

The Sine Rule Flashcards

The Sine Rule Flashcards