Rationalize the denominators.Veronica_Oles said:Homework Statement
The question states to find the primary trig ratios for (7π)/4
Homework Equations
The Attempt at a Solution
I got
sin= (-√2)/2
cos=(√2)/2
tan= -1
csc= 2/(-√2)
sec= 2/(√2)
cot= -1
I got all of them correct except for csc and sec, and I am unsure why the solutions are telling me
csc = -√2
sec = √2
I thought my original answers were correct because csc is reciprocal of sin and sec is reciprocal of cos.
Can someone help me make sense of this?
The primary trigonometric ratios are sine, cosine, and tangent. These ratios represent the relationships between the sides of a right triangle and the angles within the triangle.
The primary trig ratios can be found by using the following formulas:
Sine (sin) = opposite/hypotenuse
Cosine (cos) = adjacent/hypotenuse
Tangent (tan) = opposite/adjacent
The primary trig ratios (sine, cosine, and tangent) are used to find the relationships between the sides and angles of a right triangle. Secondary trig ratios (cosecant, secant, and cotangent) are the reciprocals of the primary ratios.
Trig ratios are important in mathematics because they are used to solve problems involving triangles and angles. They are also used in fields such as engineering, physics, and astronomy.
Primary trig ratios can be applied in real-life situations such as measuring the height of a building, calculating distances between objects, and determining the angle of elevation or depression. They are also used in navigation and surveying.