In right triangle abc with the right angle at c, sin a= 2x + .1 and cos b = 4x - .7. determine and state the vaule of x.

Imagine at the top of the triangle and at the bottom. (or used the attached picture for reference)





One thing to note, however, is that the side opposite is the same side as the one adjacent to ! Thus .

Substitute these values for and and solve.

 

1. use commutative property to reorder the terms.2x+81=0.2. move the constant to right side by adding its opposite on both sides. 2x+81-81=0-81.2x=(-81).3. divide the equation on both sides.2x ÷ 2 = 81 ÷ 2.x = -81/2. your answer is -81/2. if you need to simplify it into a decimal, it’s -40.5.