TrigCheatSheet DefinitionoftheTrigFunctions Righttriangledefinition Forthisdefinitionweassumethat 0 < < ˇ 2 or0 < < 90 . sin( ) = opposite hypotenuse csc( ) = hypotenuse
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Trigonometry is a measurement of a triangle, and it is included with inverse functions. sin -1 x, cos -1 x, tan -1 x etc., represent angles or real numbers, and their sine is x, cosine is x, and tangent is x, given that the answers are numerically the smallest available. They are also written as arc sin x, arc cos x etc.SINE AND COSINE FUNCTIONS. If t is a real number and a point (x, y) on the unit circle corresponds to an angle of t, then. cost = x sint = y. How To: Given a point P(x, y) on the unit circle corresponding to an angle of t, find the sine and cosine. The sine of t is equal to the y -coordinate of point P: sin t = y. f ' (x) = 1 x sin 1 x + cos 1 x f " (x) =-1 x 3 cos 1 x f " (x) < 0. Since f " (x) is negative for all x ∈ [1, ∞] therefore the given equation is strictly increasing & hence option (D) is also correct. Step3. Checking option C. As f ' (1) = sin 1 + cos 1 > 1. f ' (x) is strictly decreasing and lim x → ∞ f ' (x) = 1. Now, in [x, x + 2
TrigCheatSheet DefinitionoftheTrigFunctions Righttriangledefinition Forthisdefinitionweassumethat 0 < < ˇ 2 or0 < < 90 . sin( ) = opposite hypotenuse csc( ) = hypotenuse