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Write the truth values of the following ...

Write the truth values of the following statements :
(i) Two is the only even prime number
(ii) `cos 2 theta = cos^2 theta -sin^2 theta ` for all `theta in R`

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T, T
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Knowledge Check

  • If A= cos^(4)theta+sin^(2)theta , then for all values of theta :

    A
    `1 lt A le2`
    B
    `(13)/(16) le A le 1`
    C
    `(3)/(4) le A le (13)/(16)`
    D
    `(3)/(4) le A le 1`

  • If A=sin^(2) theta+cos^(4) theta , then for all values of theta

    A
    ` 1 le A le 2`
    B
    `3//4 le A le 1`
    C
    `13//16 le A le 1`
    D
    `3//4 le A le 13//16`

  • The following in the form A + i B ( cos 2 theta + i sin 2 theta )^(-5) ( cos 3 theta - i sin 3 theta)^(6) ( sin theta - i cos theta)^(3) is

    A
    `( cos 25 theta + isin 25 theta)`
    B
    `i(cos 25 theta +isin 25 theta)`
    C
    `i(cos 25 theta-isin25 theta)`
    D
    `(cos 25 theta-isin 25 theta)`

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