Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
0 votes

Find the value of $x$ if \( sin \bigg ( sin^{-1} \frac{1}{5} + cos^{-1} \: x \bigg) = 1\).

Can you answer this question?

1 Answer

0 votes
  • \( sin^{-1}x+cos^{-1}x=\large\frac{\pi}{2}\)
  • \( sin\large\frac{\pi}{2}=1\: or \: sin^{-1}1=\large\frac{\pi}{2}\)
Given $\; sin \bigg ( sin^{-1} \large\frac{1}{5} + cos^{-1} \: x \bigg) = 1$:
We know that $sin \large\frac{\pi}{2}=1 \Rightarrow$ the R.H.S of the equation $\:sin^{-1}\large\frac{1}{5}+cos^{-1}x$ should be =$\;\large\frac{\pi}{2}$
Given that $sin^{-1}x+cos^{-1}x=\large\frac{\pi}{2}$, if $sin^{-1}\large\frac{1}{5}+cos^{-1}x=\large\frac{\pi}{2} \Rightarrow x = \large\frac{\pi}{2}$


answered Feb 22, 2013 by thanvigandhi_1
edited Mar 15, 2013 by thanvigandhi_1

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App