Question

Finding $\sin^{-1}(x)$ without using a calculator

score 620 · Answer 1 · 2026-04-11 08:42:15

Finding $\sin^{-1}(x)$ without using a calculator

Published on 11 Apr 2026 - 8:42

score 1.1k · Answer 2 · 2026-04-17 01:57:38

If $y=2\sin^{-1}\sqrt{1-x}+\sin^{-1}(2\sqrt{x(1-x)})$ for $0<x<\displaystyle\frac{1}{2}$ then what is the value of $\displaystyle\frac{dy}{dx}$

score 60 · Answer 3 · 2026-04-17 05:06:33

60

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78

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List Question

Finding $\sin^{-1}(x)$ without using a calculator

If $y=2\sin^{-1}\sqrt{1-x}+\sin^{-1}(2\sqrt{x(1-x)})$ for $0<x<\displaystyle\frac{1}{2}$ then what is the value of $\displaystyle\frac{dy}{dx}$

Is it true that: $\frac {1 } {10 }(\sin(y_1+y_2)-\sin(x_1+x_2)+y_2-x_2)^2+(\cos(x_1+x_2)-\cos(y_1+y_2)+x_1-y_1)^2) \le (y_1-x_1)^2+(y_2-x_2)^2$?

Express the length of the as a function of x

Trigonometry involving usage of series

Solutions for trigonometric equation

How does $cos(x) = \frac{\vec{v} \cdot \vec{w}}{|\vec{v}| \cdot |\vec{w}|}$ make sense?

Find points near end point of a line

Why is $\sin 150^o\times\sin 20^o=\sin 80^o\times\sin 10^o$

Is this calculation correct? and why?

Converting angles in Radians to degrees

Trigonometry reference angle of radian

Second derivative of $f(x)=\frac{\cos(x)}{2x}$

Derivative of a Trigonometric Function Help

Trigonometry / Finding the exact value

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