Category: 3. Evaluate Trigonometric Angles

We can use inverse trigonometric functions to find an angle with a given trigonometric value. We can also inverse trigonometric functions to solve a right triangle. Examples: Use the calculator to find an angle θ in the interval [0, 90] that satisfies the equation.a) sin θ = 0.7523b) tan θ = 3.54 Solve the given…

Using the TI 84 to find function values for sine, cosine, tangent, cosecant, secant, and cotangent. Examples: sin 30° cos 45° tan(-264°) sec(102.5°) csc(432°) cot(-23.45°)

Use a calculator to find the function value. Use the correct number of significant digits.a) cos 369.18°b) tan 426,62°c) sin 46.6°d) cot 17.9° Determine θ in degrees. Use the correct number of significant digits.a) sin θ = 0.42b) cos θ = 0.29c) tan θ = 0.91 Determine θ in decimal degrees, 0° ≤ θ ≤…

We could make use of a scientific calculator to obtain the trigonometric value of an angle. (Your calculator may work in a slightly different way. Please check your manual.) Example:Find the value of cos 6.35˚. Solution:Press <cos 6.35˚ = 0.9939 (correct to 4 decimal places) Example:Find the value of sin 40˚ 32’. Solution: sin 40˚…

Find exact values of expressions involving sine, cosine and tangent values of 0, 30, 45, 60 and 90 degrees Example:Determine the exact values of each of the following:a) sin30°tan45° + tan30°sin60°b) cos30°sin45° + sin30°tan30°

Using a 45-45-90 triangle and a 30-60-90 triangle find sine, cosine and tangent values of 0, 30, 45, 60 and 90 degrees

We will first look into the trigonometric functions of the angles 30°, 45° and 60°. Let us consider 30° and 60°. These two angles form a 30°-60°-90° right triangle as shown. The ratio of the sides of the triangle is1 : √3 : 2 From the triangle we get the ratios as follows: Next, we…

In these lessons, we will learn how to find the trigonometric functions of special angles 30°, 45° and 60°. how to use the calculator to evaluate the trigonometric functions of any angle.