Write the following expression in algebraic form. $$\cos \left( \arcsin \left( 2 x ^ { 2 } \right) \right)$$
A) $\sqrt { 1 - 4 x ^ { 4 } }$
B) $1 + 4 x ^ { 4 }$
C) $\sqrt { 1 - 2 x ^ { 2 } }$
D) $1 + 2 x ^ { 2 }$
E) $1 + 2 x ^ { 4 }$

Question

Quizplus · Accepted Answer

The expression $\cos(\arcsin(2x^2))$ can be simplified using the Pythagorean identity $\sin^2(\theta) + \cos^2(\theta) = 1$. If $\sin(\theta) = 2x^2$, then $\cos(\theta) = \sqrt{1 - \sin^2(\theta)} = \sqrt{1 - (2x^2)^2} = \sqrt{1 - 4x^4}$.

Write the Following Expression in Algebraic Form cos⁡(arcsin⁡(2x2))\cos \left( \arcsin \left( 2 x ^ { 2 } \right) \right)cos(arcsin(2x2))

Write the Following Expression in Algebraic Form $\cos \left( \arcsin \left( 2 x ^ { 2 } \right) \right)$