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  1. Find the value of 8 cos 10° cos20° cos 40°.
    1. tan80°
    2. cot10°
    3. tan80° or cot 10°
    4. None of these
Correct Option: C

Expression = 8 cos 10°. cos 20° . cos 40°

Expression = 4
2 sin 10° .cos 10°. cos 20° . cos 40°
sin 10°

Expression = 2
2 sin 20° . cos 20° . cos 40°
sin 10°

{ ∴ 2 sinθ . cosθ = sin2θ }
Expression =
2 sin 40° . cos 40°
sin 10°

Expression =
sin 80°
=
sin 80°
sin 10°cos (90° - 10°)

Expression =
sin 80°
or
cos 10°
cos 80°sin 10°

Expression = tan80° or cot 10°
{ ∴ cos (90° - θ) = sinθ and sin (90° - θ) = cosθ }



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