Question

Sec²29-cot²61=1 solve this without using trigonometric tables

Answer 1

To Prove :

We jave to prove that : Sec² 29° - Cot² 61° = 1

Proof :

As, we have to prove that Sec² 29° - Cot² 61° = 1 without using trigonometric tables.

So, we will prove this question by using some trigonometry formula's.

→ Sec (90° - 29°) - Cot² 61° = 1

→ Cosec² 61° - Cot² 61° = 1

→ 1 = 1

∴ L.H.S = R.H.S

Hence Proved

$\rule{200}{2}$

There are sum indentities in chapter Trigonometry which were given below ⤵⤵⤵

(i) Sin (90° - θ) = Cos θ

(ii) Cos (90° - θ) = Sin θ

(iii) tan (90° - θ) = Cot θ

(iv) Cot (90° - θ) = tan θ

(v) Sec (90° - θ) = Cosec θ

(vi) Cosec (90° - θ) = Sec θ

(vii) Sin²θ + Cos²θ = 1

(viii) 1 + tan²θ = sec²θ

(ix) 1 + Cot²θ = Cosec²θ

Answer 2

HOPE IT HELPS YOU DEAR MATE✌!!