Remember, even if you enter an answer rounded to a set number of decimal places, if you use that number in a future calculation, you should use all of the decimal places reported on your calculator! Solve triangle ABC if ZA = 36.3°, a = 186.2, and b = 246.1. sin B = (round answer to 5 decimal places) There are two possible angles B between 0° and 180° with this value for sine. Find the two angles, and report them so that ZB1 is the acute angle. ZB1 = and ZB2 = (round these and all remaining answers to 1 decimal place) Thus, two triangles satisfy the given conditions: triangle Aj B1C1 and triangle A,B2C2. Solve the first triangle: A1B¡C1 ZC1 = and c1 Solve the second triangle: A2B2C2 ZC2 = and c2 =

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Analytic Trigonometry
Section7.4: Basic Trigonometric Equations
Problem 1E: Because the trigonometry functions are periodic, if a basic trigonometric equation has one solution,...
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Remember, even if you enter an answer rounded to a set number of decimal
places, if you use that number in a future calculation, you should use all of
the decimal places reported on your calculator!
Solve triangle ABC if ZA = 36.3°, a = 186.2, and b = 246.1.
sin B =
(round answer to 5 decimal places)
There are two possible angles B between 0° and 180° with this value for sine. Find the two angles,
and report them so that ZB1 is the acute angle.
ZB1 =
and
ZB2 =
(round these and all remaining answers to 1 decimal place)
Thus, two triangles satisfy the given conditions: triangle Aj B1C1 and triangle A,B2C2.
Solve the first triangle: A1B¡C1
ZC1 =
and c1
Solve the second triangle: A2B2C2
ZC2 =
and c2 =
Transcribed Image Text:Remember, even if you enter an answer rounded to a set number of decimal places, if you use that number in a future calculation, you should use all of the decimal places reported on your calculator! Solve triangle ABC if ZA = 36.3°, a = 186.2, and b = 246.1. sin B = (round answer to 5 decimal places) There are two possible angles B between 0° and 180° with this value for sine. Find the two angles, and report them so that ZB1 is the acute angle. ZB1 = and ZB2 = (round these and all remaining answers to 1 decimal place) Thus, two triangles satisfy the given conditions: triangle Aj B1C1 and triangle A,B2C2. Solve the first triangle: A1B¡C1 ZC1 = and c1 Solve the second triangle: A2B2C2 ZC2 = and c2 =
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