다음을 풀어보세요: sin^-18/17+sin^-13/5=cos^-130/85

$$\sin ^ { - 1 } \frac { 8 } { 17 } + \sin ^ { - 1 } \frac { 3 } { 5 } = \cos ^ { - 1 } \frac { 30 } { 85 }$$

확인

해답 단계

Evaluate trigonometric functions in the problem

$$0.008213221784328803 ^ {-1} + 0.010471784116245792 ^ {-1} = 0.9999810273487268 ^ {-1}$$

0.008213221784328803의 -1제곱을 계산하여 \frac{1000000000000000000}{8213221784328803}을(를) 구합니다.

$$\frac{1000000000000000000}{8213221784328803}+0.010471784116245792^{-1}=0.9999810273487268^{-1}$$

0.010471784116245792의 -1제곱을 계산하여 \frac{31250000000000000}{327243253632681}을(를) 구합니다.

$$\frac{1000000000000000000}{8213221784328803}+\frac{31250000000000000}{327243253632681}=0.9999810273487268^{-1}$$

\frac{1000000000000000000}{8213221784328803}과(와) \frac{31250000000000000}{327243253632681}을(를) 더하여 \frac{583906434392956093750000000000000}{2687721419510571287047090410843}을(를) 구합니다.

$$\frac{583906434392956093750000000000000}{2687721419510571287047090410843}=0.9999810273487268^{-1}$$

0.9999810273487268의 -1제곱을 계산하여 \frac{2500000000000000}{2499952568371817}을(를) 구합니다.

$$\frac{583906434392956093750000000000000}{2687721419510571287047090410843}=\frac{2500000000000000}{2499952568371817}$$

\frac{583906434392956093750000000000000}{2687721419510571287047090410843}과(와) \frac{2500000000000000}{2499952568371817}을(를) 비교합니다.

$$\text{false}$$