Mykenzie M. answered • 08/19/21
High School Tutor Specializing in Algebra and NYS Regents Prep
Sin= opposite/hypotenuse
The side opposite from the angle in the triangle will be 4 and the hypotenuse will be 7. We can use this model to find the other trigonometric functions.
First we should find the third side of the triangle using pythagorean thereom- a^2+b^2=c^2, with the two side lengths a and b and hypotenuse c.
4^2 + b^2= 7^2
16 +b^2=49
B^2=33
b= radical 33. This is the second side of the triangle.
they tell you cosx<0 and sin is positive, so the angle is in quadrant two.
sinx= Opposite/hypotenuse- 4/7
cosx= adjacent over hypotenuse = -radical33/7- make sure it is negative
tanx- opposite/adjacent- -4/radical33
cscx- reciporocal of sin- 7/4
secx- reciprocal of cos- -7/radical33
cotx- reciprocal of tan- -radical33/4
Mike D.
Radical here should be square root (radical is a general term for an expression with a root sign, which isn't necessarily a square root)08/19/21