Prove the following identities-i-1 - cot- - - cosec -1 - tan- - - sec- - - 2-ii- tan-2- - - cot-2- - - 2 - sec-2- - cosec-2 -iii- -sec-2- - - cosec-2 - - tan- - - cot-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Trigonometric Ratio(sin,cos,tan)

Prove the fol...

Question

Prove the following identities: (i) (1 + cot⁡ θ - cosec θ)(1 + tan⁡ θ + sec⁡ θ) = 2 (ii) tan^2⁡ θ + cot^2⁡ θ + 2 = sec^2⁡ θ cosec^2 θ (iii) √(sec^2⁡ θ + cosec^2 θ) = tan⁡ θ + cot⁡θ

Open in App

Solution

Suggest Corrections

Similar questions

(i) s e c^{2} θ + c o s e c^{2} θ = s e c^{2} θ c o s e c^{2} θ

(i i) t a n^{2} θ - s i n^{2} θ = t a n^{2} θ s i n^{2} θ

(i i i) t a n^{2} θ + c o t^{2} θ + 2 = s e c^{2} θ c o s e c^{2} θ

{sec}^{2} θ + c o s e c^{2} θ = {sec}^{2} θ \times c o s e c^{2} θ

\sqrt{{sec}^{2} θ + c o s e c^{2} θ} = tan θ + cot θ

(s e c^{2} θ - 1) (1 - c o s e c^{2} θ) = - 1

(t a n θ + c o t θ)^{2} = s e c^{2} θ + c o s e c^{2} θ

Join BYJU'S Learning Program