57 results for "cosine".
-
Question in MfEP Progress Quizzes
Question about use of trig identities, student has to use identities to find exact value of \(\cos \frac{7\pi}{12}\). Question is used in exam where student has to write out the solution and upload it for grading.
-
Question in MfEP Progress Quizzes
Question requires students to determine if the smallest angle of a triangle is smaller than a given value. Answer is Yes/No but students need to use cosine rule to find the smallest angle and to know that smallest angle is oppositeshortest side (otherwise they will need to find all angles of the triangle). Designed for a test where students upload handwritten working for each question as a check against guessing. Also designed to make it difficult for students to google or use AI to find the answer.
-
Question in MfEP Progress Quizzes
Question requires students to determine if the largest angle of a triangle is smaller than a given value. Answer is Yes/No but students need to use cosine rule to find the largest angle and to know that largest angle is opposite longest side (otherwise they will need to find all angles of the triangle). Designed for a test where students upload handwritten working for each question as a check against guessing. Also designed to make it difficult for students to google or use AI to find the answer.
-
Question in MfEP Progress Quizzes
Students are given lengths of 3 sides of a triangle (all randomised) and asked to find one of the angles in degrees. Requires use of the cosine rule.
-
Question in Engineering Statics
Two dimensional particle equilibrium problem. Advice shows how to use how to use slope triangles to find sines and cosines, rather than finding the angle and using that.
-
Exam (3 questions) in Engineering Statics
Homework Set. Three problems to brush up on trig skills. Right triangles and sine and cosine law.
-
Question in Engineering Statics
Solve a random oblique triangle for sides and angles.
-
Question in MASH Bath: Question Bank
Calculating the missing side-length of a triangle using the cosine rule.
-
Question in Standard Maths
Student is given a triangle with the value of 2 sides and 1 or 2 angles and asked to find the value of the third side using the cosine rule. Triangle can be acute or obtuse.
Side and angle lengths are randomised. Units are randomised.
-
Question in Martin's workspace
Solve a trigonometric equation involving a conversion to tangent by division by cosine.
-
Question in MASH Bath: Question Bank
Calculating the area enclosed between a cosine function and a quadratic function by integration. The limits (points of intersection) are given in the question.
-
Question in Content created by Newcastle University
A question testing the application of the Cosine Rule when given two sides and an angle. In this question, the triangle is always obtuse and both of the given side lengths are adjacent to the given angle (which is the obtuse angle).
-
Question in Content created by Newcastle University
Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.
-
Question in Glasgow Numbas Question Pool
Calculate the distance between two points along the surface of a sphere using the cosine rule of spherical trigonometry. Context is two places on the surface of the Earth, using latitude and longitude.
The question is randomised so that the numerical values for Latitude for A and B will be positive and different (10-25 and 40-70 degrees). As will the values for Longitude (5-25 and 50-75). The question statement specifies both points are North in latitude, but one East and one West longitude, This means that students need to deal with angles across the prime meridian, but not the equator.
Students first calculate the side of the spherical triangle in degrees, then in part b they convert the degrees to kilometers. Part a will be marked as correct if in the range true answer +-1degree, as long as the answer is given to 4 decimal places. This allows for students to make the mistake of rounding too much during the calculation steps.
-
Question in Assessment Exercises
Four sinusoidal graphs are given. Student should select the one which is sine and cosine.
-
Question in Assessment Exercises
Four sinusoidal graphs are given. Student should select the one which is sine and cosine.
-
Question in DIAGNOSYS
No description given
-
Question in DIAGNOSYS
No description given
-
Question in DIAGNOSYS
No description given
-
Question in Andrew's workspace
No description given
-
Question in Andrew's workspace
Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.
-
Question in Andrew's workspace
A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.
-
Question in All questions
Four sinusoidal graphs are given. Student should select the one which is sine and cosine.
-
Question in FME
Draws a triangle based on 3 side lengths.
-
Question in MATH1011 practice questions and online tutorials
No description given
-
Question in Content created by Newcastle University
Find the cosine of the angle between two pairs of 3D and 4D vectors.
The calculations and answers are correct, however the Advice should display the interim calculations of the lengths of vectors and their products to say 6dps. At present the student may be mislead into using 2dps at each stage - the instruction at the start of Advice is somewhat confusing.
-
Question in Content created by Newcastle University
A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always obtuse. A secondary application is finding the area of a triangle.
-
Question in Content created by Newcastle University
A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.
-
Question in Jordan's workspace
Solve a random oblique triangle for sides and angles.
-
Question in Trignometry
Use Sine rule and Cosine rule to solve a Geometry problem in geology.