摘要: It is known that the sum of the interior angles of a triangle is equal to 180°. This is a property of all triangles. It indicates that an exterior angle of a triangle is equal to the sum of the two interior angles that are not adjacent to it…...
Answer to: Use sum and difference formulas to simplify. sin (90 degrees + x) + sin(90 degrees - x) By signing up, you'll get thousands of...
We can rewrite the given expression as the sum of two sines using the sum-to-product formula for the difference of two sines, sinα−sinβ=2sinα−β2cosα+β2. Step 2: Identify the angles. The angles are π12 and 5π12. Step 3: Rewrite the expre...
Since there is the sum of two sines in the numerator, use thesin(α)cos(β)=12[sin(α+β)+sin(α−β)]identity. Findαandβ. Knowingα+β=8xandα−β=2x, form the following system of equations: {α+β=8xα−β=2x ...
To express the statement "Sum of two consecutive numbers is 15" as an algebraic expression, we can follow these steps:1. Define the first consecutive number: Let's denote the first consecutive number as \( X \).2.
We will establish the formula to transform the products of two sines or two cosines or one sine and one cosine into the sum or difference of two sines or two cosines. These formulas are derived from the formulas of sum and difference of angles of trigonometric functions. When solving the in...
Write \cos 2u\cos 3u as a sum of two trigonometric functions. Express the given sum or difference as a product of sines and/or cosines. sin 8x - sin 4x Write in terms of sine and cosine and simplify the expression. (sin^4(A)-cos^4(A))/(cos(A...
where a and f are the row vectors for the amplitude and frequency of your sines, and t is the row vector for time. Then f'*t is a matrix with the same rows as f' and the same columns as t, and likewise sin(f'*t). Of course if the sizes of t and f are too large, you'...
The present invention is directed to the isolation and bioactive characterization of compounds isolated from the clam Spisula polynyma. These compounds include three sphingoid-type bases, spisulosines 285, 299 and 313 (1-3), each of whic... ...
Express the given sum or difference as a product of sines and/or cosines \sin (6\theta) - \sin (2\theta)\\ \sin (6\theta) - \sin (2\theta) = \boxed{\space} Use the sum or difference formula to find the exact value of the expression. sin 171 cos 51 - cos171 sin 51...