Question

hort Answer Type Question
Prove that
cot 56 tan 10
tan 34 cot 80°
2.​

Answer 1

Answer:

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Step-by-step explanation:

now according to complementary angle relation

tan(90-theta)=cot theta

thus tan34=tan(90-34)

=tan 56 degree

similarly for cot 80

it would be tan 10

now also since 1/tan=cot and vice versa

similarly then

cot 56×tan10×tan34×cot80

=1/tan34×1/cot80×tan34×cot80

so tan 34 and cot 80 gets eliminated

thus remains only is 1×1 ie nothing but 1

so the final answer is 1