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Algebra 2 Intensified Trigonometry Review Remember: S Name: ______________ Date: _______________ O A O C T H H A Example 1) Write an equation involving sin, cos, or tan that can be used to find x. Then solve the equation. Round the measures of sides to the nearest tenth. a. b. Example 2) Write an equation involving sin, cos, or tan that can be used to find x. Then solve the equation. Round the angle measures to the nearest degree. a. b. There are 3 new trig functions: Cosecant (csc), Secant (sec), and Cotangent (cot) Example 3) Use Pythagorean Theorem to find the missing side length. Then, find the values of the six trigonometric functions for the angle . a. b. sin _____ csc _____ sin _____ csc _____ cos _____ sec _____ cos _____ sec _____ tan _____ cot _____ tan _____ cot _____ Example 4) Match each trigonometric function with the correct ratio. i. r t a) sin ii. r s b) tan iii. t r iv. c) sec s t d) cot v. s r e) cos vi. t s f) csc 5 , use Pythagorean theorem to find the missing triangle side. 8 Then, find the five remaining trig functions for B. Example 5) If sin B a) cos ____ b) tan ____ c) sec ____ d) cot ____ e) csc ____ Example 6) Solve ABC with right angle C by using the given measurements. Round the measures of sides to the nearest tenth and the measures of angles to the nearest degree. a. A 72 , c 10 b. b 4, c 9 Applications: Some applications of trigonometry use an angle of elevation or depression. In the figure, the angle formed by the line of sight from the observer and a line parallel to the ground is called the angle of elevation. The angle formed by the line of sight from the plane and a line parallel to the ground is called the angle of depression. These angles are congruent since they are alternate interior angles of parallel lines. Example 7) John stands 150 meters from a water tower and sights the top at an angle of elevation of 36 . How tall is the tower? Round to the nearest meter. Example 8) You are on a lookout tower that is 250 feet tall. You see a fire at an angle of depression of 5 . How far from the fire is the tower?