# If 0 <= u <= pi/2 and x=sec u, then sqrt(x^2 - 1) = f(u), where f(u) equals?

• If 0 <= u <= pi/2 and x=sec u, then sqrt(x^2 - 1) = f(u), where f(u) equals?

If 0
Positive: 38 %
(\frac{x}{2}\right)$, where we specify$0\leq\theta\pi/2 ... Then \[\int \frac{dx}{x^2\sqrt ... $dx=\sec^2\theta \, d\theta$. Also, \$\sqrt{1+x^2 ...
Positive: 35 %

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For all other values of x, sec^2 x+cos^2 x>=2 as already ... frac{n\pi}{2}}\left[e^x-1-\frac{x}{1!}-\frac{x^2}{2!}-\dots ... not equal to 0 then a +1/a ...
Positive: 38 %
... (for k = 0, 1, 2 ... and the final trigonometric function equals one or minus one or zero so that half the entries in ... then f(x) is the ...
Positive: 33 %
Trigonometric Identities and Formulas. ... sin 2 X + cos 2 X = 1 1 + tan 2 X = sec 2 X ... (X/2) = + or - SQRT [ (1 + cosX) / 2 ]