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

Answer

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Calculus 1 / AB

NCERT Class 12 Part 1 - Math

Chapter 2

Inverse Trigonometric Functions

Section 3

Properties of Inverse Trigonometric Functions

Discussion

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Video Transcript

In this question we have to do that. Then it was 63 by 16 as it was to sign in. Was Fired by 13 plus causing was three x 5. Right in this question will be learning the concept of investor econometric function and its properties. Now to solve discussion the approaches we have to convert assigning risk and cost inverse functions into town in west functions like. And then we can recall the formula of 10 was expressed in this way with the help of that we can we can do LHs is request to allergies. So let's convert sign will send cosmos function into sat down and was function. So suppose signing was fired by 13. Music was two X. Which means cynics would be equal to fight by trading. We can find cause sex easily. That would be equal to 12 x 13. Hence the next would be equal to sine X by cossacks. So five x 12. Therefore we can write sign and was fired by 30 nous. Then it was five x 12. So this is the question # one. Now, similarly we can convert costs and was functioning to 10 inverse function. So God, so the Carson was three x 5. We can assume it as light. Yeah. Yeah. Night. Therefore Because why would be equal to three x 5? Now we can find sign way which would be equal to four x 5. As then why would be able to sign by by causeway? That is four by three. So we can right cause in verse three x 5 years then it was four x 3. This is a question number two With the help of equation one and do we can write other just says Yeah. Then it was five by 12. Palestinian was for battery. We cannot play the formula of 10 with X plus 10 was way. So we got then it was find by 12 plus four by three. They headed by one five x 12. Multiplied by four. Battery. When we simplify this, We get in with 63 by 16, which is LH is therefore other justice equals to religious and see this. Cool. Yeah.

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