Assertion (A): tan{\theta}\cdot cot{\theta}=1 Reason (R): Cotangent of an angle

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Q.
Assertion (A): $t a n θ \cdot c o t θ = 1$

Reason (R): Cotangent of an angle is the reciprocal of the tangent of that angle

1 Both A and R are true, and R is the correct explanation of A

2 Both A and R are true, but R is not the correct explanation of A

3 A is true, but R is false

4 A is false, but R is true

Ans.
(1)

We know,

$c o t θ = \frac{1}{\tan θ} ∴ t a n θ \cdot c o t θ = t a n θ \cdot \frac{1}{\tan θ} = 1 S o, R e a s o n i s c o r r e c t e x p l a n a t i o n o f A s s e r t i o n$

Solution

Q.
Assertion (A): $t a n θ \cdot c o t θ = 1$

Reason (R): Cotangent of an angle is the reciprocal of the tangent of that angle

1 Both A and R are true, and R is the correct explanation of A

2 Both A and R are true, but R is not the correct explanation of A

3 A is true, but R is false

4 A is false, but R is true

Ans.
(1)

We know,

$c o t θ = \frac{1}{\tan θ} ∴ t a n θ \cdot c o t θ = t a n θ \cdot \frac{1}{\tan θ} = 1 S o, R e a s o n i s c o r r e c t e x p l a n a t i o n o f A s s e r t i o n$

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Solution

Q. Assertion (A): tanθ·cotθ=1 Reason (R): Cotangent of an angle is the reciprocal of the tangent of that angle

1 Both A and R are true, and R is the correct explanation of A

2 Both A and R are true, but R is not the correct explanation of A

3 A is true, but R is false

4 A is false, but R is true

Ans. (1) We know, cotθ=1tanθ∴tanθ·cotθ=tanθ·1tanθ=1So, Reason is correct explanation of Assertion

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Q.
Assertion (A): $t a n θ \cdot c o t θ = 1$

Reason (R): Cotangent of an angle is the reciprocal of the tangent of that angle

Ans.
(1)

We know,

$c o t θ = \frac{1}{\tan θ} ∴ t a n θ \cdot c o t θ = t a n θ \cdot \frac{1}{\tan θ} = 1 S o, R e a s o n i s c o r r e c t e x p l a n a t i o n o f A s s e r t i o n$