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Question

$I f cos invisible function application 2 B equals fraction numerator cos invisible function application open parentheses A plus C close parentheses over denominator cos invisible function application open parentheses A minus C close parentheses end fraction comma blank t h e n tan invisible function application A comma tan invisible function application B comma tan invisible function application C blank a r e blank i n$

A.P.
G.P.
H.P
None of these

The correct answer is: G.P.

$fraction numerator cos invisible function application 2 B over denominator 1 end fraction equals fraction numerator cos invisible function application open parentheses A plus C close parentheses over denominator cos invisible function application left parenthesis A minus C right parenthesis end fraction$
Applying componendo and dividend, we get
$rightwards double arrow fraction numerator 1 minus cos invisible function application 2 B over denominator 1 plus cos invisible function application 2 B end fraction equals fraction numerator cos invisible function application open parentheses A minus C close parentheses minus cos invisible function application open parentheses A plus C close parentheses over denominator cos invisible function application open parentheses A minus C close parentheses plus cos invisible function application open parentheses A plus C close parentheses end fraction$
$rightwards double arrow fraction numerator 2 sin to the power of 2 end exponent invisible function application B over denominator 2 cos to the power of 2 end exponent invisible function application B end fraction equals fraction numerator 2 sin invisible function application A sin invisible function application C over denominator 2 cos invisible function application A cos invisible function application C end fraction$
$rightwards double arrow tan to the power of 2 end exponent invisible function application B equals tan invisible function application A tan invisible function application C$
$rightwards double arrow tan invisible function application A comma tan invisible function application B comma tan invisible function application C blank a r e blank i n blank G. P$

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parallel

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parallel

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