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If tan ⁡ ( A + B ) = 3 \tan(A + B) = \sqrt{3} tan ( A + B ) = 3 ​ and tan ⁡ ( A − B ) = 1 3 \tan(A - B) = \frac{1}{\sqrt{3}} tan ( A − B ) = 3 ​ 1 ​ w...

SSC SSC CGL Tier 2 Easy Trigonometric Ratios MCQ

Question

If tan⁡(A+B)=3\tan(A + B) = \sqrt{3} and tan⁡(A−B)=13\tan(A - B) = \frac{1}{\sqrt{3}} with 0∘<(A+B)<90∘0^\circ < (A + B) < 90^\circ and A>BA > B, then find the values of AA and BB respectively.

Options

A.

45∘45^\circ and 15∘15^\circ

B.

15∘15^\circ and 45∘45^\circ

C.

30∘30^\circ and 30∘30^\circ

D.

60∘60^\circ and 30∘30^\circ

trigonometrytan functionanglesbasic identities

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