Tutor profile: Ayush A.

If (2 sin θ – cos θ) / (cos θ + sin θ) = 1, then the value of cot θ is -

Lets divide numerator and denominator by sin θ ⇒ [(2 sin θ – cos θ)/sin θ] / [(cos θ + sin θ)/sin θ] = 1 ⇒ (2 – cot θ)/(1 + cot θ)= 1 ⇒ 2 – cot θ = 1 + cot θ ⇒ cot θ = 1/2

What’s the difference between onCreate() and onStart()?

The onCreate() method is called once during the Activity lifecycle, either when the application starts, or when the Activity has been destroyed and then recreated, for example during a configuration change. The onStart() method is called whenever the Activity becomes visible to the user, typically after onCreate() or onRestart().

If b^2 + 1/b^2 = 1, then value of b^3 + 1 /b^3 is ....

As formula we know that - b^3 + 1 /b^3 = (b + 1/b)( b^2 - 1 + 1/b^2) On putting value of b^2 + 1/b^2 = 1 We get - b^3 + 1 /b^3 = (b + 1/b)( 1 - 1 ) b^3 + 1 /b^3 = 0 Hence answer is 0.