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Two circles of radii 4cm and 1cm touch e...

Two circles of radii 4cm and 1cm touch each other externally and `theta` is the angle contained by their direct common tangents. Find `sin (theta/2)+cos(theta/2) dot`

Text Solution

Verified by Experts

The correct Answer is:
`7//5`
From figure, we have
`sin(theta)/2=3/5`
`cos(theta)/2=4/5`
`:. Sin(theta)/2+cos(theta)/2=7/5`
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