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If sec4A=cosec(A-20^@), where 4A is an a...

If `sec4A=cosec(A-20^@)`, where 4A is an acute angle, find the value of A.

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To solve the equation \( \sec 4A = \csc (A - 20^\circ) \), where \( 4A \) is an acute angle, we can follow these steps: ### Step 1: Rewrite the secant function We know that: \[ \sec \theta = \csc(90^\circ - \theta) \] Thus, we can rewrite \( \sec 4A \) as: ...
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Knowledge Check

  • If sec 2A=cosec (A-42^@) , where 2A is an acute angle, find the value of A.

    A
    `A=44^@`
    B
    `A=54^@`
    C
    `A=64^@`
    D
    `A=74^@`

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