WebbSimplify trigonometric expressions Calculator online with solution and steps. Detailed step by step solutions to your Simplify trigonometric expressions problems online with our math solver and calculator. Solved exercises of Simplify trigonometric expressions. WebbSimplify the expression (tan(x)^2)/(sec(x)^2-1). Apply the trigonometric identity: \sec\left(x\right)^2-1=\tan ... Simplify the fraction …
How do you simplify tan(x)/sec(x) ? Socratic
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Webb6 juni 2024 · If you know the identity sec 2 x = 1 + tan 2 x, then this easily simplifies to: sec 2 x − tan 2 x = ( 1 + tan 2 x) − tan 2 x = 1 But in your question you mentioned reciprocals, … WebbIn trigonometry, reciprocal identities are sometimes called inverse identities. Reciprocal identities are inverse sine, cosine, and tangent functions written as “arc” prefixes such as arcsine, arccosine, and arctan. For instance, functions like sin^-1 (x) and cos^-1 (x) are inverse identities. Either notation is correct and acceptable. WebbIn the first method, we used the identity sec 2 θ = tan 2 θ + 1 sec 2 θ = tan 2 θ + 1 and continued to simplify. In the second method, we split the fraction, putting both terms in the numerator over the common denominator. ... − 2 sin 2 x = cos 2 x (sec 2 (− x) − tan 2 x tan x) (2 + 2 tan x 2 + 2 cot x) ... klinische depression symptome