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-tana.cot(90-a)+seca.cosec(90-a)+sin35+sin55 / tan10.tan20.tan30.tan70.tan80
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Answer:
cot(90-a) = tana
cosec(90-a) = seca
sin35 = sin(90-55) = coe35
tan10 is opposite of tan80
tan 20 is opposite of tan 70
sin²a+cos²a = 1
sec²a -tan²a = 1
tan30 = 1/√3
now their is little bit mistake in writing the question , but wo samaj aa rhi hai, sin²35 and sin²55 hai wo..
Now,
using all these value we get :-
(-tana²a+sec²)+(sin²35+cos²35)/tan10*tan20*tan30*cot10*cot20)
= 1+1/√3
= 2/√3
= 2√3/3 (Ans)
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this will help you
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