If sec (6α - 25°) = cosec (25° - 3α) then the value of cosα .
Answer & explanation
Correct answer: option 4
[Concept: sec A = cosec B, when A + B = 90°]
Therefore,
(6α - 25° + 25° - 3α) = 90°
3α = 90°
α = 30°
Put this value in find →
⇒ cosα
⇒ cos30°
= \(\frac{\sqrt {3}}{2}\)