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Evaluate : (3 cos 55^(@))/(7 sin 35^(@))...

Evaluate : `(3 cos 55^(@))/(7 sin 35^(@)) - (4 cos 70^(@) cosec 20^(@))/(7 (tan 5^(@) tan 25^(@) tan 45^(@) tan 65^(@) tan 85^(@)))` .

Text Solution

Verified by Experts

The correct Answer is:
`- (1)/(7)`
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Evaluate the ((3 cos 43^(@))/(sin 47^(@)))^(2) - (cos 37^(@) "cosec" 53^(@))/(tan 5^(@) tan 25^(@) tan 45^(@) tan 65^(@) tan 85^(@))

Evaluate :(3cos55^(0))/(7sin35^(@))-(4(cos70^(0)cos ec20^(0))/(7(tan5^(0)tan25^(0)tan45^(@)tan65^(@)tan85^(@)))

Knowledge Check

  • The value of tan 5^(@) tan 25^(@) tan 45^(@) tan 65^(@) tan 85^(@) is

    A
    1
    B
    2
    C
    3
    D
    4

  • The value of tan 15^@ tan 25^@ tan 45^@ tan 65^@ tan 75^@ is

    A
    3
    B
    `sqrt3`
    C
    `2`
    D
    1

    • Similar Questions

    Explore conceptually related problems

    Find tan15^(@).tan25^(@).tan45^(@).tan65^(@).tan75^(@) .

    Evaluate: tan5^(@)tan25^(@)tan30^(@)tan65^(@)tan85^(@)

    Value of tan25^(@)tan35^(@)tan45^(@)tan55^(@)tan65^(@) is

    Evaluate: tan35^(@)tan40^(@)tan45^(0)tan50^(@)tan55^(@)

    Prove that : (i) (sin 70^@)/(cos 20^@)+(cosec 20^@)/(sec 70^@)-2cos 70^@cosec 20^@=0 (ii) (cos 80^@)/(sin 10^@)+cos 59^@cosec 31^@=2 (iii) (2 sin 68^@)/(cos 22^@)-(2 cot 15^@)/(5 tan 75^@)-(3tan 45^@tan 20^@tan 40^@tan 50^@tan 70^@)/(5)=1 (iv) (sin 18^@)/(cos 72^@)+sqrt(3) (tan 10^@ tan 30^@tan 40^@tan 50^@tan 80^@)=2 (v) (7cos 55^@)/(3 sin 35^@)-(4(cos 70^@cosec 20^@))/(3(tan 5^@tan 25^@tan 45^@tan 65^@tan 856^@))=1

    Evaluate tan20^(@)tan25^(@)tan65^(@)tan70^(@) .

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