Solve -1(5/13)+cos^-1(3/5)=tan^-1(63/16)

$$- 1 ( \frac { 5 } { 13 } ) + \cos ^ { - 1 } ( \frac { 3 } { 5 } ) = \tan ^ { - 1 } ( \frac { 63 } { 16 } )$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$-1 {(\frac{5}{13})} + 0.9999451693655121 ^ {-1} = 0.0688307304338548 ^ {-1}$$

Multiply -1 and \frac{5}{13} to get -\frac{5}{13}.

$$-\frac{5}{13}+0.9999451693655121^{-1}=0.0688307304338548^{-1}$$

Calculate 0.9999451693655121 to the power of -1 and get \frac{10000000000000000}{9999451693655121}.

$$-\frac{5}{13}+\frac{10000000000000000}{9999451693655121}=0.0688307304338548^{-1}$$

Add -\frac{5}{13} and \frac{10000000000000000}{9999451693655121} to get \frac{80002741531724395}{129992872017516573}.

$$\frac{80002741531724395}{129992872017516573}=0.0688307304338548^{-1}$$

Calculate 0.0688307304338548 to the power of -1 and get \frac{2500000000000000}{172076826084637}.

$$\frac{80002741531724395}{129992872017516573}=\frac{2500000000000000}{172076826084637}$$

Least common multiple of 129992872017516573 and 172076826084637 is 22368760830400674993183848189001. Convert \frac{80002741531724395}{129992872017516573} and \frac{2500000000000000}{172076826084637} to fractions with denominator 22368760830400674993183848189001.

$$\frac{13766617840848704233390827619615}{22368760830400674993183848189001}=\frac{324982180043791432500000000000000}{22368760830400674993183848189001}$$

Compare \frac{13766617840848704233390827619615}{22368760830400674993183848189001} and \frac{324982180043791432500000000000000}{22368760830400674993183848189001}.

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