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Use the given trigonometric value to find the remaining function values. 5 tan 6 csc, sin csc sin csc, cos sec cos sec, tan cot tan cot. sin csc sin csc, cos sec cos sec, tan cot tan cot, Angles of 30 60 and 45 are used frequently in trigonometry. You can use your knowledge of the side relationships in special right. TRIG VALUES OF triangles to find the values of the trigonometric ratios. SPECIAL ANGLES 30 60 90 Triangle 45 45 90 Triangle. sin cos tan csc sec cot, Gina Wilson All Things Algebra LLC 2018. Name Unit 5 Trigonometric Functions, Date Per Homework 4 Trigonometric Functions. This is a 2 page document, Directions Find the exact values of the trigonometric functions of.
sin csc sin csc, cos sec cos sec, tan cot tan cot, sin csc sin csc. cos sec cos sec, tan cot tan cot, sin csc sin csc, cos sec cos sec. tan cot tan cot, Gina Wilson All Things Algebra LLC 2018. Directions Use the given trigonometric function value of to find the exact values of the. remaining functions, 60 8 csc 7, sin csc sin csc, cos sec cos sec. tan cot tan cot, 9 sin 10 tan, sin csc sin csc, cos sec cos sec.
tan cot tan cot, 11 sec 12 cot, sin csc sin csc, cos sec cos sec. tan cot tan cot, Directions Give the exact value of each function. 13 cos 60 14 tan 45 15 csc 45 16 cot 30, Gina Wilson All Things Algebra LLC 2018. Topic Class, Main Ideas Questions Notes Examples, Find the value of x Round to the nearest tenth. Given the trigonometric value of an angle use the corresponding. inverse trigonometric function to find the measure of the angle. Finding Inverse Sine Inverse Cosine Inverse Tangent. If sin x then If cos x then If tan x then, Find the measure of Round to the nearest tenth of a degree.
Note sin 1 x, is read as the, inverse sine of x, Gina Wilson All Things Algebra LLC 2018. Solve each triangle Round all measures to the nearest tenth. Solving A BC, Solving a right triangle C B, means to find all side m B. and angle measures, Gina Wilson All Things Algebra LLC 2018. Topic Class, Main Ideas Questions Notes Examples, Round all answers to the nearest tenth when necessary. 1 A fire started at a campsite 2 A man is standing 85 meters from. located 8 miles from the base of a the base of a tower If the tower is. mountain If the angle of elevation 200 meters tall find the angle of. from the fire to the top of the elevation from the ground where. mountain is 14 how high is the the man is standing to the top of. mountain the tower, Angle of Elevation, 3 A 32 foot tall ladder rests against a 4 Lana s kite is flying 60 feet above.
vertical wall If the top of the the ground The angle of elevation. ladder reaches a point 18 feet up from where her hand is holding. the wall what angle does the the string to the top of the kite is. bottom of the ladder make with 48 18 If her hand is 5 feet from. the ground the ground find the length of the, 5 A ramp is being built to access a 6 Sara is standing 35 feet from the. door that is 1 5 feet above the base of a rock wall watching her. ground Find the length of the two sons Max and Jon climb the. ramp if the angle of elevation must wall The angle of elevation is 38. be 8 to Max and 27 to Jon How many, feet above Jon is Max. Gina W ilson All Things Algebra LLC 2018, 7 Building A is 464 feet tall and Building B is 321 feet tall Dale is standing. between the buildings The angle of elevation from the point on the. ground where Dale is standing is 75 to the top of Building A and 48 to top. of Building B How far apart are the buildings, 8 From the top of a lighthouse 150 9 The angle of depression from a. feet above sea level the angle of helicopter to a landing pad is. depression to a boat at sea is 28 34 54 8 If the horizontal. What is the horizontal distance distance from the helicopter to the. from the boat to the base of the landing pad is 1 200 feet find the. lighthouse altitude of the helicopter, Angle of Depression.
10 Henry is sitting in tree 32 feet 11 A wire is attached from the top. above the ground watching a of a post to a point on the. deer If the deer is 57 feet from ground 24 feet from the base of. the base of the tree find the the post If the angle of. angle of depression from Henry depression from the top of the. to the deer post to the point where the wire is, attached to the ground is 61. find the length of the wire, 12 A scuba diver spots a shipwreck at an angle of depression of 26 The. angle of elevation from the scuba diver up to his boat is 53 If the. shipwreck is located directly below his boat and the horizontal distance. between the scuba diver and the shipwreck is 120 feet find the vertical. distance between the shipwreck and the boat, Gina W ilson All Things Algebra LLC 2018. Name Unit 5 Trigonometric Functions, Date Per Homework 5 Solving Right Triangles. This is a 2 page document, Directions Find the missing side or angle measure Round answers to the nearest tenth.
Directions Solve each triangle Round all measures to the nearest tenth. Gina Wilson All Things Algebra LLC 2018, 11 A 50 foot ladder is leaning against a vertical 12 Joel is ziplining in the mountains If the. wall If the base of the ladder is 45 feet from vertical distance from his platform to the. the base of the wall find the angle the next platform is 304 yards and the angle of. bottom of the ladder makes with the ground depression is 21 43 30 find the length of. the zipline, 13 A string is connecting the corner of a square 14 At a hot air balloon festival Erica spots a. canopy to a point on the ground 15 feet red balloon due east at an angle of. from the base of the canopy If the angle of elevation of 36 She turns due west and sees. elevation from the point on the ground to a blue balloon at an angle of elevation of. the corner of the canopy is 37 find the 51 If altitude of the red balloon is 296. length of the string meters the altitude of the blue balloon is 461. meters and Erica is 1 6 meters tall find the, distance between the balloons. Main Ideas Questions Notes Examples TRIGONOMETRIC FUNCTIONS Trigonometry is the study of the relationships among the side and angle measures in triangles A trigonometric ratio compares the lengths of two sides with respect to an acute angle theta in a right triangle

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