1.

Prove that cos12+sin12/cos12-sin12=tan57(or) cot33​

Answer»

ANSWER:

COS12

o

−sin12

o

+

cos147

o

sin147

o

=

1+tan12

o

1−tan12

o

+tan147

o

=tan(45

o

−12

o

)+tan(180

o

−33

o

)[∵tan(A−B)=

1−tanAtanB

tanA−tanB

]

=tan33

o

−tan33

o

[tan(180

o

−θ)=−tanθ]

=0

∴ OPTION D is correct



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