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Table of contents, Day 1 Basic Trigonometry Review. SWBAT 1 Explore and use Trigonometric Ratios to find missing lengths of triangles and 2 Use. trigonometric ratios and inverse trigonometric relations to find missing angles. Day 2 Trig Review and Co Functions, SWBAT 1 Solve problems involving angle of elevation depression and 2 Express sine and cosine. in terms of its CoFunction, Day 3 Using Trigonometry to Determine Area. SWBAT Derive the formula for calculating the Area of a Triangle when the height is not known. Day 4 Law of Sines, SWBAT Find the missing side lengths of an acute triangle given one side length and the measures. of two angles, Day 5 Law of Cosines, SWBAT Find the missing side lengths of an acute triangle given two side lengths and the measure.
of the included angle, Day 6 Review, Day 7 TEST, SWBAT 1 Explore and use Trigonometric Ratios to find missing lengths of triangles and 2 Use trigonometric ratios and. inverse trigonometric relations to find missing angles. Basic Trigonometry Review, Warm Up Review the basic Trig Rules below and complete the example below. Basic Trigonometry Rules, These formulas ONLY work in a right triangle. The hypotenuse is across from the right angle, Questions usually ask for an answer to the nearest units. You need a scientific or graphing calculator, SWBAT 1 Explore and use Trigonometric Ratios to find missing lengths of triangles and 2 Use trigonometric ratios and.
inverse trigonometric relations to find missing angles. SWBAT 1 Explore and use Trigonometric Ratios to find missing lengths of triangles and 2 Use trigonometric ratios and. inverse trigonometric relations to find missing angles. Example 3 Inverse Trigonometric Relations to find Missing Angles. SWBAT 1 Explore and use Trigonometric Ratios to find missing lengths of triangles and 2 Use trigonometric ratios and. inverse trigonometric relations to find missing angles. SWBAT 1 Explore and use Trigonometric Ratios to find missing lengths of triangles and 2 Use trigonometric ratios and. inverse trigonometric relations to find missing angles. Exit Ticket, SWBAT 1 Explore and use Trigonometric Ratios to find missing lengths of triangles and 2 Use trigonometric ratios and. inverse trigonometric relations to find missing angles. Day 1 Homework, SWBAT 1 Explore and use Trigonometric Ratios to find missing lengths of triangles and 2 Use trigonometric ratios and. inverse trigonometric relations to find missing angles. SWBAT 1 Explore and use Trigonometric Ratios to find missing lengths of triangles and 2 Use trigonometric ratios and. inverse trigonometric relations to find missing angles. SWBAT 1 Solve problems involving angle of elevation depression and 2 Express sine and cosine in terms. of its CoFunction, Basic Trig Word Problems and CoFunctions. 1 Find the length of side p and the measure of angle m as shown on the diagram Give each. answer correct to the nearest whole number or degree. SWBAT 1 Solve problems involving angle of elevation depression and 2 Express sine and cosine in terms. of its CoFunction, Real World Connection, Trigonometry can be used on a daily basis in the workplace Since trigonometry. means triangle measure any profession that deals with measurement deals with. trigonometry as well Carpenters construction workers and engineers for example. must possess a thorough understanding of trigonometry. Angle of Elevation The angle of elevation is always measured from the. ground up Think of it like an elevator that only goes. up It is always INSIDE the triangle, In the diagram at the left x marks the angle of elevation.
of the top of the tree as seen from a point on the ground. You can think of the angle of elevation in relation to the. movement of your eyes You are looking straight ahead. and you must raise elevate your eyes to see the top of. Angle of Depression The angle of depression is always OUTSIDE the. triangle It is never inside the triangle, In the diagram at the left x marks the angle of depression. of a boat at sea from the top of a lighthouse, You can think of the angle of depression in relation to the. movement of your eyes You are standing at the top of. the lighthouse and you are looking straight ahead You. must lower depress your eyes to see the boat in the. There are two possible ways to use our angle of depression to. obtain an angle INSIDE the triangle, 1 Find the angle adjacent next door to our angle which. is inside the triangle This adjacent angle will always. be the complement of our angle Our angle and the, angle next door will add to 90 In the diagram on the. left the adjacent angle is 55, 2 Utilize the fact that the angle of depression the.
angle of elevation and simply place 35 in angle, A the easiest method Just be sure to place it in the. proper position, SWBAT 1 Solve problems involving angle of elevation depression and 2 Express sine and cosine in terms. of its CoFunction, 1 From a point on the ground 25 feet from the foot of a tree the angle of elevation of the top. of the tree is 32 Find to the nearest foot the height of the tree. SWBAT 1 Solve problems involving angle of elevation depression and 2 Express sine and cosine in terms. of its CoFunction, Refer to the triangle below, a What is the relationship between m A and m B. 12 13 b What is the cos A What is the sine B, c What is the sin A What is the cos B.
What do you notice about the cosine and sine of complements. The sine of an acute angle is equal to the cosine of its complement. The sine and cosine functions are called cofunctions. SWBAT 1 Solve problems involving angle of elevation depression and 2 Express sine and cosine in terms. of its CoFunction, Any trigonometric function of an acute angle is equal to the cofunction of its complement. cos x sin 90o x sin x cos 90o x, For example, sec csc 90o sin. find the value 90oo, Now find the value of cos 60o. SWBAT 1 Solve problems involving angle of elevation depression and 2 Express sine and cosine in terms of its CoFunction Day 2 Basic Trig Word Problems and CoFunctions Warm Up 1 Find the length of side p and the measure of angle m as shown on the diagram Give each answer correct to the nearest whole number or degree 2

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