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Find the domain of f(x) = √(cos (sinx)) - Toppr Ask?

Find the domain of f(x) = √(cos (sinx)) - Toppr Ask?

WebCorrect options are A) and B) The following inequalities must be satisfied. Simultaneously, cos(sinx)≥0, ∣∣∣(1+x 2)/2x ∣∣∣≤1. For all real. x,−1≤sinx≤1. ∴cos(sinx)=cos(y) … WebNov 6, 2024 · Find the domain f ( x) = ( sin x + cos x) 2 − 1 My attempt is as follows: ( sin x + cos x) 2 − 1 ≥ 0 ( sin x + cos x) 2 ≥ 1 sin ( x + π 4) 2 ≥ 1 2 Let's assume t as sin ( x + … 850 credit restoration WebFunctions assign outputs to inputs. The domain of a function is the set of all possible inputs for the function. For example, the domain of f (x)=x² is all real numbers, and the domain of g (x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited. Sort by: WebNov 16, 2016 · Konstantinos Michailidis. Nov 16, 2016. For the function to have a meaning in the real numbers we have. sinx ≥ 0 which happends for values. 0 + 2 ⋅ k ⋅ π ≤ x ≤ π +2 ⋅ k ⋅ π. where k is an integer. 850 cranking amp battery WebDomain of the function, f(x)= cos(sinx)+sin −1(x 2−1) is A [−1,1] B [−2,2] C [−π,− 2]∪[ 2,π] D [− 2, 2] Hard Solution Verified by Toppr Correct option is D) f(x)= cos(sinx)+sin −1(x 2−1) −1≤sinx≤1 ∀x∈R ∴cos(sinx)>0 ∀x∈R ∴ domain of cos(sinx) is R ..... (i) −1≤x 2−1≤1 i.e. 0≤x 2≤2 i.e. x∈[− 2, 2] ∴ domain of sin −1(x 2−1) is [− 2, 2] .... (ii) 850 cranking amp marine battery WebSep 16, 2015 · $\log_x(\cos2\pi x)\geq 0\Rightarrow \frac{\log(\cos2\pi x)}{\log x}\geq 0$ $\frac{\log(\cos2\pi x).\log x}{\log^2 x}\... Stack Exchange Network Stack Exchange network consists of 181 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

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