Solve 3/5+sin^-18/17=sin^-111/85

$$\frac { 3 } { 5 } + \sin ^ { - 1 } \frac { 8 } { 17 } = \sin ^ { - 1 } \frac { 11 } { 85 }$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{3}{5} + 0.008213221784328803 ^ {-1} = 0.002258659464488192 ^ {-1}$$

Calculate 0.008213221784328803 to the power of -1 and get \frac{1000000000000000000}{8213221784328803}.

$$\frac{3}{5}+\frac{1000000000000000000}{8213221784328803}=0.002258659464488192^{-1}$$

Add \frac{3}{5} and \frac{1000000000000000000}{8213221784328803} to get \frac{5024639665352986409}{41066108921644015}.

$$\frac{5024639665352986409}{41066108921644015}=0.002258659464488192^{-1}$$

Calculate 0.002258659464488192 to the power of -1 and get \frac{3906250000000000}{8822888533157}.

$$\frac{5024639665352986409}{41066108921644015}=\frac{3906250000000000}{8822888533157}$$

Least common multiple of 41066108921644015 and 8822888533157 is 362321701506149354552278105355. Convert \frac{5024639665352986409}{41066108921644015} and \frac{3906250000000000}{8822888533157} to fractions with denominator 362321701506149354552278105355.

$$\frac{44331835686688689612731366863213}{362321701506149354552278105355}=\frac{160414487975171933593750000000000}{362321701506149354552278105355}$$

Compare \frac{44331835686688689612731366863213}{362321701506149354552278105355} and \frac{160414487975171933593750000000000}{362321701506149354552278105355}.

$$\text{false}$$