Question

Express tan A, secA and sin A in terms of cot A.

Answer 1

Answer:

Solution

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Correct option is

B

sinA=

cot

2

A+1

1

secA=

cotA

cot

2

A+1

tanA=

cotA

1

We have

1]cosec

2

A−cot

2

A=1

⇒cosec

2

A=1+cot

2

A

⇒(cosecA)

2

=cot

2

A+1

⇒(

sinA

1

)

2

=cot

2

+1

⇒(sinA)

2

=

cot

2

A+1

1

⇒sinA=±

cot

2

A+1

1

We reject the negative value of sinA for acute angle A. Therefore sinA=

cot

2

A+1

1

2]tanA=

cotA

1