$\text { Evaluate the expression } \cos \left( \arcsin \frac { 3 } { 5 } \right) \text { without using a calculator. }$
A) $\frac { 3 } { 5 }$
B) $\frac { 4 } { 5 }$
C) 3
D) 5
E) 4

Question

$\text { Evaluate the expression } \cos \left( \arcsin \frac { 3 } { 5 } \right) \text { without using a calculator. }$ 
A) $\frac { 3 } { 5 }$
B) $\frac { 4 } { 5 }$
C) 3
D) 5
E) 4

Quizplus · Accepted Answer

Let $y = \arcsin \frac{3}{5}$. Then $\sin y = \frac{3}{5}$, and so drawing a right triangle with opposite side 3 and hypotenuse 5 gives the adjacent side 4. Therefore, $\cos y = \frac{4}{5}$.

Evaluate the expression cos⁡(arcsin⁡35) without using a calculator. \text { Evaluate the expression } \cos \left( \arcsin \frac { 3 } { 5 } \right) \text { without using a calculator. } Evaluate the expression cos(arcsin53​) without using a calculator.

$\text { Evaluate the expression } \cos \left( \arcsin \frac { 3 } { 5 } \right) \text { without using a calculator. }$