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cot 3 7 5 ∘ + tan 3 7 5 ∘ cot 7 5 ∘ + tan 7 5 ∘ = ? \large \dfrac{\cot^375^{\circ}+\tan^375^{\circ}}{\cot75^{\circ}+\tan75^{\circ}} = \ ? cot75∘+tan75∘cot375∘+tan375∘=?
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sin 2 ( 3 A ) sin 2 ( A ) − cos 2 ( 3 A ) cos 2 ( A ) = 2 \large \dfrac{\sin^2 (3A)}{\sin^2 (A)}-\dfrac{\cos^2 (3A)}{\cos^2 (A)}=2 sin2(A)sin2(3A)−cos2(A)cos2(3A)=2
⟹ cos ( 2 A ) = ? \implies \large \cos (2A)= \ ? ⟹cos(2A)=?
In Δ A B C \Delta ABC ΔABC, if the length of B C BC BCis twice the length of A C , AC, AC,and ∠ A − ∠ B = 9 0 ∘ , \angle A-\angle B=90^\circ, ∠A−∠B=90∘,what is the value of tan C \tan C tanC?
tan ( 6 3 ∘ ) = a − b + c − b \large \tan(63^\circ) = \sqrt{\sqrt a-\sqrt b} + \sqrt{\sqrt c-\sqrt b} tan(63∘)=a −b +c −b
The equation above is true for positive integers a , b , a,b, a,b,and c . c. c.What is the value of a + b + c ? a+b+c? a+b+c?
If we have sin ( A + B ) cos ( A − B ) = 1 + 5 1 − 5 \dfrac { \sin(A+B) }{ \cos(A-B) } =\frac { 1+5 }{ 1-5 } cos(A−B)sin(A+B)=1−51+5then find the value of tan ( π 4 − A ) tan ( π 4 − B ) . \tan\left(\dfrac { \pi }{ 4 } -A\right)\tan\left(\dfrac { \pi }{ 4 } -B\right). tan(4π−A)tan(4π−B).
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