The value of $$sin$$−$$1$$⁡$$1213$$−$$sin$$−$$1$$⁡$$35$$ is equal to

Question

The value of $$sin$$−$$1$$⁡$$1213$$−$$sin$$−$$1$$⁡$$35$$ is equal to

Infinity Learn · Accepted Answer

Wehave, $$sin$$−$$1$$⁡$$1213$$−$$sin$$−$$1$$⁡$$35$$ $$=$$$$sin$$−$$1$$⁡$$12131$$−$$352$$−$$351$$−$$12132$$∵$$sin$$−$$1$$⁡x−$$sin$$−$$1$$⁡$$y=$$$$sin$$−$$1$$⁡$$x1$$−$$y2$$−$$y1$$−$$x2$$  if $$x2+y2$$≤$$1$$ orif xy>$$0$$ and $$x2+y2$$>$$1$$∀x,y∈[−$$1$$,$$1$$] $$=$$$$sin$$−$$1$$⁡$$1213$$×$$45$$−$$35$$×$$513=$$$$sin$$−$$1$$⁡$$48$$−$$1565=$$$$sin$$−$$1$$⁡$$3365=$$$$cos$$−$$1$$⁡$$1$$−$$33652=$$$$cos$$−$$1$$⁡$$31364225$$ ∵$$sin$$−$$1$$⁡$$x=$$$$cos$$−$$1$$⁡$$1$$−$$x2=$$$$cos$$−$$1$$⁡$$5665=$$π$$2$$−$$sin$$−$$1$$⁡$$5665$$∵$$sin$$−$$1$$⁡θ$$+$$$$cot$$−$$1$$⁡θ$$=$$π$$2$$

The value of $\sin^{- 1} (\frac{12}{13}) - \sin^{- 1} (\frac{3}{5})$ is equal to

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The value of sin−1⁡1213−sin−1⁡35 is equal to

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The value of $\sin^{- 1} (\frac{12}{13}) - \sin^{- 1} (\frac{3}{5})$ is equal to