Which of the following is a trigonometric identity? A)1+sec^2 theta=tan^2 theta; B)1+cosec^2 theta=cot^2 theta; C)sin^2 theta=1-cos^2 theta;D)sin^2 theta-cos^2 theta=1

Deacon Hensley

Deacon Hensley

Answered question

2022-12-21

Which of the following is a trigonometric identity?
A ) 1 + sec 2 θ = tan 2 θ B ) 1 + c o s e c 2 θ = cot 2 θ C ) sin 2 θ = 1 cos 2 θ D ) sin 2 θ cos 2 θ = 1

Answer & Explanation

Trinity Walter

Trinity Walter

Beginner2022-12-22Added 7 answers

The true option is D
sin 2 θ = 1 cos 2 θ

Given that,
sin 2 θ + cos 2 θ = 1 tan 2 θ + 1 = sec 2 θ cot 2 θ + 1 = c o s e c 2 θ sin 2 θ = 1 cos 2 θ is the correct trigonometric identity

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