![\mathsf{E=sin\!\left[sin^{-1}(x)+cos^{-1}(y)\right]\qquad\quad(i)}](/tpl/images/0219/1841/fd917.png)
![\mathsf{sin\,\alpha=sin\!\left[sin^{-1}(x)\right]}\\\\ \mathsf{sin\,\alpha=x\qquad\quad\checkmark}](/tpl/images/0219/1841/8e322.png)
is positive for ![\mathsf{\alpha\in \left[-\frac{\pi}{2},\,\frac{\pi}{2}\right].}](/tpl/images/0219/1841/b07ef.png)
![\mathsf{cos\,\beta=cos\!\left[cos^{-1}(y)\right]}\\\\ \mathsf{cos\,\beta=y\qquad\quad\checkmark}](/tpl/images/0219/1841/4858f.png)
is positive for ![\mathsf{\beta\in [0,\,\pi].}](/tpl/images/0219/1841/47ad2.png)
![\mathsf{E=x\cdot y +\sqrt{1-y^2}\cdot \sqrt{1-x^2}}\\\\\\ \therefore~~\mathsf{sin\!\left[sin^{-1}(x)+cos^{-1}(y)\right]=x\cdot y +\sqrt{1-y^2}\cdot \sqrt{1-x^2}\qquad\quad\checkmark}](/tpl/images/0219/1841/10875.png)
Write the given expression in terms of x and y only.
sin(sin−1(x) + cos−1(y))...
Mathematics, 02.09.2019 01:20, mzink23
Write the given expression in terms of x and y only.
sin(sin−1(x) + cos−1(y))
Answers: 1
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