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Neha Lalit Pant
Asked: 2022-11-10T12:15:33+05:30 In:

If tan 2A=cot(A-18°),where 2A is an acute angle,find the value of A

If tan 2A=cot(A-18°),where 2A is an acute angle,find the value of A
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  1. 36
    A=36°

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Dinesh Prasad Sunder
Asked: 2022-11-10T11:44:03+05:30 In:

If tan 2A=cot(A-18°), where 2A is an acute angle, find the value of A.

If tan 2A=cot(A-18°), where 2A is an acute angle, find the value of A.
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  1. Given\xa0tan2A=cot(A−180)⇒cot(90−2A)=cot(A−180)[∵tanθ=cot(90−θ)]Comparing angles we get90−2A=A−18⇒90+18=A+2A⇒3A=108⇒A=108\u200b/3⇒A=36∘

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Usman Lal Nazareth
Asked: 2022-11-07T16:22:27+05:30 In:

If tan 2A = cot (A – 18°), where 2A is an acute angle. Find the value of A.

If tan 2A = cot (A – 18°), where 2A is an acute angle. Find the value of A.

Parabola
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  1. Given that tan 2A = cot (A – 18°)

    ⇒ cot (90° – 2A) = cot (A – 18°) [∵ tan θ = cot (90 – θ)] 

    ⇒ 90° – 2A = A – 18° 

    ⇒ 108° = 3A 

    ⇒ A =  108° / 3  = 36° 

    Hence the value of A is 36°.

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Kiran Sandal
Asked: 2022-11-07T14:16:43+05:30 In:

If tan 2A=cot (A-18°), where 2A is an acute angle, Find the value of A.

If tan 2A=cot (A-18°), where 2A is an acute angle, Find the value of A.
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  1. Right
    36
    36

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Hassan Nayan De
Asked: 2022-11-06T13:33:27+05:30 In:

If tan 2A = cot (A – 18°), where 2A is an acute angle, find the value of A.

If tan 2A = cot (A – 18°), where 2A is an acute angle, find the value of A.

Parabola
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  1. tan 2A = cot (A – 18°) 

    cot (90 – 2A) = cot (A – 18) 

    90 – 2A = A – 18 

    3A = 108° 

    ∴ A = 36°

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