Question

write the value of tanA • cot A
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Answer 1

Answer:

Tan A . Cot A

SinA/CosA . Cos A/SinA

1

Answer 2

tanA • cotA = 1

Since , they are reciprocal to each other

Proof :-

Substituting , tanA = 1/cotA

• 1/cotA × cotA = 1

Substituting , tanA = sinA/cosA & cotA = cosA/sinA

• sinA/cosA × cosA/sinA = 1

Substituting , cotA = 1/tanA

• tanA × 1/tanA = 1

Hence , proved with diffaerent reasons ✔️

More information :-

Trigonometric identities

• sin²A + cos²A = 1
• sec²A - tan²A = 1
• cosec²A - cot²A = 1

Trigonometric ratios,

• sinA = opp/hyp
• cosA = adj/hyp
• tanA = opp/adj
• cosecA = hyp/opp
• secA = hyp/adj
• cotA = adj/opp