P Prerequisites 1 Trigonometry 2 Analytic Trigonometry 3 Additional Topics In Trigonometry 4 Complex Numbers 5 Exponential And Logarithmic Functions 6 Topics In Analytic Geometry Chapter1: Trigonometry
1.1 Radian And Degree Measure 1.2 Trigonometric Functions: The Unit Circle 1.3 Right Triangle Trigonometry 1.4 Trigonometric Functions Of Any Angle 1.5 Graphs Of Sine And Cosine Functions 1.6 Graphs Of Other Trigonometric Functions 1.7 Inverse Trigonometric Functions 1.8 Applications And Models Chapter Questions Section1.8: Applications And Models
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Related questions
Refer to right triangle ABC in which C = 90°. Solve each triangle.
B=22 0 , b = 320
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
Expert Solution
B = 22 ° , C = 90 ° & b = 320
The triangle is,
Now since the sum of all the angles of triangle is 180 °
∠ A + ∠ B + ∠ C = 180 ° ⇒ ∠ A + 22 ° + 90 ° = 180 ° ⇒ ∠ A = 68 °
Now,
sin 22 ° = 320 A B ⇒ A B = 320 sin 22 ° ⇒ A B = 854 . 229492
&
tan 22 ° = 320 B C ⇒ B C = 320 tan 22 ° ⇒ B C = 792 . 027793
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