# TRIG

Problems on Trigonometric Identities with Solutions. To learn trigonometric identities in detail, click here Problem 1 : Prove : (1 - cos2θ) csc2θ = 1 Solution : Let A = (1 - cos2θ) csc2θ and B = 1.

A = (1 - cos2θ) csc2θ Because sin2θ + cos2θ = 1, we have sin2θ = 1 - cos2θ Then, A = sin2θ ⋅ csc2θ A = sin2θ ⋅ (1/sin2θ) A = sin2θ /sin2θ A = B (Proved) Problem 2 : Let's Learn Right Triangle Trigonometry. In Figure 16.12.1, there is a circle centered at the origin with a radius whose length is r.

A radius has been drawn from the origin to a point on the circle in Quadrant I; the point is labeled (x,y). A right triangle has been created by dropping a line segment from the point (x,y) perpendicularly to x-axis. The angle of the triangle formed at the origin is labeled θ. The hypotenuse is labeled HYP. The side of the triangle that lies on the x-axis has been labeled ADJ which stands for "adjacent" as in it is the side other that the hypotenuse that is adjective to θ.

We can now redefine the trigonometric values of acute angles (angles whose measurements fall between 0∘ and 90∘, not including 0∘ nor 90∘). Exact Values of Trigonometric Functions - Questions With Answers. Exact Trig Values. This page is about the trigonometric functions of sine, cosine and tangent, what they are and how to find the exact values of many angles.

The calculators and other effects on this page require JavaScript but you appear to have switched JavaScript off (it is disabled) in this browser. Please go to the Preferences or Properties menu item for this browser and enable it and then Reload this page. What angles have an exact expression for their sines, cosines and tangents? You might know that cos(60°)=1/2 and sin(60°)=√3/2 as well as tan(45°)=1, but are 30, 45 and 60 the only angles up to 90° with a formula for their trig values? No! 1 A Table of Exact Trig values that are expressible as simple terms involving square-roots. 2 All the trig functions in one diagram Here is a really great Mathematica demonstration of how all the 6 trigonometric functions are related, in one interactive diagram. 2.1 Trig functions of Angles outside the range 0° to 90° Here is another visualization, by graphs: Phew! If. SAT Trigonometry: SOHCAHTOA and Radians.