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Mark the corr...

Question

Mark the correct choice.
Assertion (A): If tan⁡A = cot⁡B, then the value of (A + B) is 90°.
Reason (R): If sec⁡θ sin⁡θ = 0, then the value of θ is 0.

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Solution

Option B is correct .

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Similar questions

Q. Mark the correct choice.
Assertion (A): The value of sin⁡θ cos (90°− θ) + cos⁡θ sin⁡ (90°− θ) is equal to 1.
Reason (R): tan⁡θ = sec⁡ (90° − θ)

Q. Mark the correct choice.
Assertion (A): If sin⁡A =

\frac{\sqrt 3}{2}

, then the value of

2 c o t^{2} A - 1

\frac{- 1}{3} .

Reason (R): If θ be an acute angle and 5 cosec θ = 7, then the value of sin θ +

c o s^{2} θ - 1

Q. Mark the correct choice.
Assertion (A): If

k + 1 = s e c^{2} θ (1 + s i n θ) (1 - s i n θ)

, then the value of

k

is 1.
Reason (R): If

s i n θ + c o s θ = \sqrt 3

, then the value of

t a n θ + c o t θ

Q. Mark the correct choice.
Assertion (A): If =

x {sin}^{3} θ + y {cos}^{3} θ

= sinθ cosθ and x sin θ = y cos θ, then

x^{2} + y^{2}

= 1.
Reason (R) : For any value of θ,

{sin}^{2} θ + {cos}^{2} θ

Q. Mark the correct choice.
Assertion (A): The value of

s e c^{2} 40 ° - c o t^{2} 50 °

is 1.
Reason (R): The value of

c o s 60 ° = \frac{1}{2} .

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