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1. Given that a right triangle has sin 0 = 0.5. Find another two sides of length if hypotenuse length is 5 cm.

1. Given that a right triangle has sin 0 = 0.5. Find another two sides of length if hypotenuse length is 5 cm.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.4: Trigonometric Functions
Problem 75E
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1. 2. 3. 4. 5. 6. 7. Given that a right triangle has sin 0 = 0.5. Find another two sides of length if hypotenuse length is 5 cm. Given that a right triangle has two side length 5 cm and 8 cm. Find the length of hypotenuse and every angle. Given that a right angle triangle has sec 0 = 2. Find the ratio of the length at each side of triangle. Solve the triangle ABC and find the area of triangle ABC given that: B = 50°, c = 4 cm, a = 5 cm A = 30°, b = 10 cm, a = 6 cm A = 34°,b=20.8 cm, a = 12.4 cm A = 30°, b = 10 cm, C = 40° C = 45°,b=12 cm, c = 10 cm B = 50°, c = 8 cm, a = 5 cm a = 13 cm, b = 14 cm, c = 16 cm Using identity cosec²x-cot² = 1, find the exact value of cotx if cosecx-cotx = 3. Simplify each of the following questions. (secx + tanx) (secx-tan.x) a. b. C. d. a. sin 2x cos.x + cos2xsin.x cos Prove that b. C. b. C. d. 70° cos10+ sin 70° sin 10° = tan A+ tan B e. cosec 2x + cot2x = cotx sec 2x -tan 2x =tan(45-x) f. g. sin (A + B) cos Acos B sin² x cos² y-cos²xsin² y = sin²x-sin² y h. A = 20°,b= 10 cm, a = 6 cm
Transcribed Image Text:1. 2. 3. 4. 5. 6. 7. Given that a right triangle has sin 0 = 0.5. Find another two sides of length if hypotenuse length is 5 cm. Given that a right triangle has two side length 5 cm and 8 cm. Find the length of hypotenuse and every angle. Given that a right angle triangle has sec 0 = 2. Find the ratio of the length at each side of triangle. Solve the triangle ABC and find the area of triangle ABC given that: B = 50°, c = 4 cm, a = 5 cm A = 30°, b = 10 cm, a = 6 cm A = 34°,b=20.8 cm, a = 12.4 cm A = 30°, b = 10 cm, C = 40° C = 45°,b=12 cm, c = 10 cm B = 50°, c = 8 cm, a = 5 cm a = 13 cm, b = 14 cm, c = 16 cm Using identity cosec²x-cot² = 1, find the exact value of cotx if cosecx-cotx = 3. Simplify each of the following questions. (secx + tanx) (secx-tan.x) a. b. C. d. a. sin 2x cos.x + cos2xsin.x cos Prove that b. C. b. C. d. 70° cos10+ sin 70° sin 10° = tan A+ tan B e. cosec 2x + cot2x = cotx sec 2x -tan 2x =tan(45-x) f. g. sin (A + B) cos Acos B sin² x cos² y-cos²xsin² y = sin²x-sin² y h. A = 20°,b= 10 cm, a = 6 cm
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