If `sin theta=11/61`, ffind the value of `cos theta` using trigonometric identity.

Explanation

`sin theta = 11/61 ` …(Given)
`sin^2 theta + cos^2 theta = 1` …(Identity)
`((11)/(61))^2 + cos^2 theta =1 `
`therefore cos^2theta = 1-((11)/(61))^2`
`therefore cos^2theta = 1-121/3721`
`therefore cos^2theta = (3721-121)/(3721)`
`therefore cos^2theta = 3600/3721`
`therefore cos^2theta = 60/61`
....(Taking square roots of both the sides)
`cos theta =(60)/(61)`.