Grade 7/8 Math Circles Congruence and Similarity - Solutions
... Two or more adjacent angles that lie along a straight line must add up to 180◦ . In the diagram above, ∠BEC and ∠CED are adjacent and lie along the straight line segment BD. Therefore, ∠BEC + ∠CED = 180◦ See if you can spot the three other pairs of angles with the same property. Pythagorean Theorem ...
... Two or more adjacent angles that lie along a straight line must add up to 180◦ . In the diagram above, ∠BEC and ∠CED are adjacent and lie along the straight line segment BD. Therefore, ∠BEC + ∠CED = 180◦ See if you can spot the three other pairs of angles with the same property. Pythagorean Theorem ...
“JUST THE MATHS” UNIT NUMBER 6.5 COMPLEX NUMBERS 5
... sin 3θ ≡ 3cos2 θ. sin θ − sin3 θ or 3 sin θ − 4sin3 θ, using cos2 θ ≡ 1 − sin2 θ. 6.5.3 EXPRESSIONS FOR cosn θ AND sinn θ IN TERMS OF SINES AND COSINES OF WHOLE MULTIPLES OF θ. The technique described here is particularly useful in calculus problems when we are required to integrate an integer power ...
... sin 3θ ≡ 3cos2 θ. sin θ − sin3 θ or 3 sin θ − 4sin3 θ, using cos2 θ ≡ 1 − sin2 θ. 6.5.3 EXPRESSIONS FOR cosn θ AND sinn θ IN TERMS OF SINES AND COSINES OF WHOLE MULTIPLES OF θ. The technique described here is particularly useful in calculus problems when we are required to integrate an integer power ...
A summary of definitions, postulates, algebra rules, and theorems
... A triangle where one of its angle is right is a right triangle. In a right-triangle, the side that is opposite the right-angle is called the hypotenuse of the right-triangle. The other two sides are the legs of the righttriangle. A triangle where one of its angle is obtuse is an obtuse triangle: A t ...
... A triangle where one of its angle is right is a right triangle. In a right-triangle, the side that is opposite the right-angle is called the hypotenuse of the right-triangle. The other two sides are the legs of the righttriangle. A triangle where one of its angle is obtuse is an obtuse triangle: A t ...
