If sin 10 x -cos 10 x -1 then x - n - Z A- n - B- 2 n -2- 2 n-1 -2D- n -2

The correct option is C sin^10 x cos^10 x = 1 ⇒ sin^10 x = 1 + cos^10 x sin^10 x ≤ 1 ⇒ 1 + cos^10 x ≤ 1 ⇒ cos^10 x = 0 ⇒ cos x = 0 ⇒ x = (2n + 1) π/2 ...

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Standard XII

Mathematics

Convexity

If sin 10 x -...

Question

$I f s i n^{10} x - c o s^{10} x = 1 t h e n x = (n ϵ Z)$

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Solution

The correct option is C
$s i n^{10} x - c o s^{10} x = 1 \Rightarrow s i n^{10} x = 1 + c o s^{10} x s i n^{10} x \leq 1 \Rightarrow 1 + c o s^{10} x \leq 1 \Rightarrow c o s^{10} x = 0 \Rightarrow c o s x = 0 \Rightarrow x = (2 n + 1) \frac{π}{2}$

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If sin10x−cos10x=1 then x=(nϵZ)

The correct option is C sin10x−cos10x=1⇒sin10x=1+cos10xsin10x≤1⇒1+cos10x≤1⇒cos10x=0⇒cosx=0⇒x=(2n+1)π2

$I f s i n^{10} x - c o s^{10} x = 1 t h e n x = (n ϵ Z)$

The correct option is C
$s i n^{10} x - c o s^{10} x = 1 \Rightarrow s i n^{10} x = 1 + c o s^{10} x s i n^{10} x \leq 1 \Rightarrow 1 + c o s^{10} x \leq 1 \Rightarrow c o s^{10} x = 0 \Rightarrow c o s x = 0 \Rightarrow x = (2 n + 1) \frac{π}{2}$