State True or False-Cot90-A-Cot AA- TrueB- False

The correct option is B False In triangle ABC right angled at B, tan A= BC/AB = cot(90 A) cot A= AB/BC = tan(90 A) Thus, tanA= cot(90 A) And, cot A = tan(9 ...

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Standard X

Mathematics

Trigonometric Ratios

State True or...

Question

State True or False:
Cot(90 - A) = CotA

True

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False

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Solution

The correct option is B
False

In triangle ABC right angled at B,

tan A= $\frac{B C}{A B}$ = cot(90-A)

cot A= $\frac{A B}{B C}$ = tan(90-A)

Thus,

tanA= cot(90-A)

And,

cot A = tan(90-A)

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State True or False: Cot(90 - A) = CotA

The correct option is B False In triangle ABC right angled at B, tan A= BCAB = cot(90-A) cot A= ABBC = tan(90-A) Thus, tanA= cot(90-A) And, cot A = tan(90-A)

State True or False:
Cot(90 - A) = CotA

The correct option is B
False

In triangle ABC right angled at B,

tan A= $\frac{B C}{A B}$ = cot(90-A)

cot A= $\frac{A B}{B C}$ = tan(90-A)

Thus,

tanA= cot(90-A)

And,

cot A = tan(90-A)