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Evaluate without using tables:(tan 200cot 700)2+ (700200)2− 2150450750. |
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Answer» Formula: tan(90−x)=cotx sec(90−x)=cscx csc(90−x)=secx ( csc70 ∘
∘
) 2 +( sec70 ∘
cot20 ∘
) 2 +2tan15 ∘ tan45 ∘ tan75 ∘
=( sec20 ∘
tan20 ∘
) 2 +( csc20 ∘
cot20 ∘
) 2 +2tan15 ∘ tan45 ∘ cot15 ∘
=sin 2 20 ∘ +cos 2 20 ∘ +2tan15 ∘ cot15 ∘ tan45 ∘
=1+2(1)(1) =1+2 =3(ANS) please follow me for getting your answers quickly |
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