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Express in product form: cos theta - co...

Express in product form:
`cos theta - cos 3 theta`

Text Solution

Verified by Experts

The correct Answer is:
`=2 sin 2 theta sin theta`
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Knowledge Check

  • If sintheta + sin^2 theta=1 , then the value of the expression cos^12 theta + 3 cos^10 theta + 3 cos^8 theta + cos^6 theta -1 is

    A
    0
    B
    -1
    C
    1
    D
    2

  • For any angle theta, the expression (2cos 8 theta +1)/(2 cos theta +1) is equal to-

    A
    `(2 cos theta -1) (2 cos 2 theta -1) (2 cos 4 theta -1)`
    B
    `(2 cos theta +1 )(cos 2 theta +1) (2 cos 4 theta +1)`
    C
    `(cos theta -1) ( cos 2 theta -1) (cos 4 theta -1)`
    D
    `( 2 cos theta -1) (2 cos 2 theta -1) (2 cos 4 theta +1)`

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    Prove the following identities : (sin theta +sin 3 theta + sin 5 theta + sin 7theta)/(cos theta + cos 3 theta + cos 5 theta + cos 7 theta)=tan 4 theta

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