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  1. If sec (4x – 50°) = cosec (50° – x), then the value of x is
    1. 45°
    2. 90°
    3. 30°
    4. 60°
Correct Option: C

sec (4x – 50°) = sec (50° – x)
⇒ sec (4x – 50°) = sec (90° – (50° – x)) = sec (40° + x)
⇒ 4x – 50° = 40° + x
⇒ 4x – x = 50° + 40°
⇒ 3x = 90°

⇒ x =
90°
= 30°
3



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