Trigonometric Equations : Solution and Area of Triangle

1. Find all the solutions of the equation 3sin20(degrees) = cos2x(degrees) in the range 0(degrees) is less then or equal to x(degrees) which is less than or equal to 180(degrees).

2. A triangle has sides A-C =3cm
A-B = 5 cm
B-C = 4 cm
Find the area of the triangle

Solution Preview

1 when you evaluate sin( 20 degrees) one obtains 0.349 and 3 times this is 1.026 which is greater than 1. However cos (2x) can only run from 1 to -1 in this range no matter the value of the arguement. So one of two things has happened. the equation given is incorrect or there is no x for which this equation is true.

Draw the triangle with B-C on the horizontal axis so that A is above the line of B-C.

Drop a ...

Solution Summary

A trigonometric equation and area of triangle are solved.

... This posting includes step by step solutions to some ... graphing trigonometric functions, solving trigonometric equations and angle ... or no) 3. Find the area of the ...

... Note that solutions of equations can be obtained ... set of axioms for geometry, trigonometry, calculus and ... This equation provides a simple relation among the ...

... Use trigonometry to express the length of the crease as ... Graph the equations y = sin x and y = cos x ... 180 − θ ) , Pat offered the following solution: sin(180 ...

... It provides examples of solving trigonometric word problem ... The solution is detailed and has a rating of '5/5 ... The area of a triangle can given by Heron's formula. ...

... 0). Since 25^2 = 625 we can start to see the solution involves just ... Complicated functions can be graphed using Maple ... Great question - trig, calc, geometry, Maple ...

... mathematics covering arithmetic, algebra, plane trigonometr and spherical trigonometry. ... algorithms for square roots and the solution of quadratic equations. ...

... identities for the functions given to find the indicated trigonometric functions. ... What is the area of the circle that needs to ...Solution: The area of the circle ...

... turk/math_gr.html 1)High-school level algebra and trigonometry 2)The ... of physical systems very often leads to numerical solutions of differential equations. ...

... with expressions that have whole numbers as solutions. ... engaged in setting up log trigonometric tables ... required for calculating logarithmic functions of smaller ...