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To simplify the expression sec2x −1, we can use a trigonometric identity. Recall the Pythagorean identity: sec2x = 1+ tan2x Using this identity, we can rewrite sec2x as: sec2x = 1+ tan2x Substituting this back into the expression sec2x −1, we get: sec2x −1 = (1+ tan2x) − 1 Simplifying the right side: (1 + tan2 x) −1 = tan2x So, the simplified form of sec2x − 1 is: tan2x Therefore ...
Basic trig identities are formulas for angle sums, differences, products, and quotients; and they let you find exact values for trig expressions.
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tan^2 x = sec^2 x - 1 is an identity. We can prove the identity by using other trigonometric identities.
Detailed step by step solution for identity sec^2(x)-1
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Use the trigonometric identity, sin 2 x + cos 2 x = 1. Then, divide the cos 2 x in the whole trigonometric identity. The inverse of cos x is known as sec x and division of sin x and cos x is known as tan x. Complete step by step solution: We have to find out the value of the expression sec 2 x 1. So, using the trigonometric identity, we know ...
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression sec (x)^2-1. Apply the trigonometric identity: \sec\left (\theta \right)^2-1=\tan\left (\theta \right)^2.
Detailed step by step solution for sec^2(x)-1=tan(x)