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  1. The expression
    tan 57° + cot 37°
    is equal to
    tan 33° + cot 53°
    1. tan 33° cot 57°
    2. tan 57° cot 37°
    3. tan 33° cot 53°
    4. tan 53° cot 37°
Correct Option: B

tan 57° + cot 37°
tan 33° + cot 53°

cot 33° + tan 53°
tan 33° + cot 53°

[∵ tan(90° – θ) = cotθ, cot (90° – θ)= tanθ]

=
1 + tan 53° . tan 33°
×
tan 53°
tan 33° . tan 53° + 1tan 33°

= tan 53° . cot 33°
= cot 37° . tan 57°



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