Question

Prove that √3/(sin /9) − 1/(cos /9)=4

Answer 1

Answer:

LHS =

(cos9

∘

−sin9

∘

)

(cos9

∘

+sin9

∘

)

Divide by Nr and Dr by cos9

∘

LHS =

1−tan9

∘

1+tan9

∘

=

1−tan45

∘

tan9

∘

tan45

∘

+tan9

∘

where tan45

∘

=1

=tan(45+9) using compound angles formula

=tan54

∘

=tan(90−36)=cot36

∘

Hence Proved

Answer 2

Step-by-step explanation:

refer to the attachment for answer.

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