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The value of cos^2 10^0-cos10^0cos50^0+c...

The value of `cos^2 10^0-cos10^0cos50^0+cos^2 50^0` is equal to `4/3` (b) `1/3` (c) `3/4` (d) `3`

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To solve the problem \( \cos^2 10^\circ - \cos 10^\circ \cos 50^\circ + \cos^2 50^\circ \), we will follow these steps: ### Step 1: Rewrite the expression We start with the expression: \[ \cos^2 10^\circ - \cos 10^\circ \cos 50^\circ + \cos^2 50^\circ \] ...
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Knowledge Check

  • The value of cos^(2)10^(@)-cos10^(@) cos 50^(@) + cos^(2) 50^(@) is

    A
    `(3)/(2) (1+cos20^(@))`
    B
    `(3)/(4)+cos20^(@)`
    C
    `3/2`
    D
    `3/4`
  • The value of a=cos^(2)(10^(@))-cos(10^(@))cos(50^(@))+cos^(2)(50^(@)) is

    A
    `(3)/(4)+cos(20^(@))`
    B
    `(3)/(4)`
    C
    `(3)/(2) (1+cos(20^(@)))`
    D
    `(3)/(2)`
  • cos^(2)10^(@)+cos^(2)50^(@)-cos10^(@)cos50^(@) is equal to

    A
    `(3)/(2)`
    B
    `(3)/(4)`
    C
    `(3)/(2)(cos20^(@)+1)`
    D
    `(3)/(4)(cos20^(@)+1)`
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