Valueof sin x cos y + sin z sin y is equal to. Medium. View solution > The value of (sec A + tan A) (1
Explanation 5π 4 is an angle in Quadrant III and as such (based on CAST) its cos is negative. 5π 4 = π + π 4. So its reference angle is π 4 which is a standard angle with cos( π 4) = 1 √2. Answer link. cos ( (5pi)/4)= -1/sqrt (2) or -sqrt (2)/2 (5pi)/4 is an angle in Quadrant III and as such (based on CAST) its cos is negative. (5pi)/4
Theorem1.2 Cofunction Theorem. If A and B are the complementary acute angles in a right triangle ABC, then the following relations hold: sinA = cos B sec A = csc B tan A = cotB. sinB = cos A sec B = csc A tan B = cotA. We say that the pairs of functions { sin, cos }, { sec, csc }, and { tan, cot} are cofunctions.
First we recall `tan x = (sin x) / (cos x)`. `tan a/2=(sin a/2)/(cos a/2)` Then we use the sine and cosine of a half angle, as given above: `=sqrt((1-cos a)/2)/sqrt((1+cos a)/2)` Next line is the result of multiplying top and bottom by `sqrt 2`. `=sqrt((1-cos a)/(1+cos a))` We then multiply top and bottom (under the square root) by `(1 − cos
Secant cosecant and cotangent, almost always written as sec, cosec and cot are trigonometric functions like sin, cos and tan. sec x = 1. cos x. cosec x = 1. sin x. cot x = 1 = cos x. tan x sin x. Note, sec x is not the same as cos -1 x (sometimes written as arccos x). Remember, you cannot divide by zero and so these definitions are only valid
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what is cos x divided by sin x