Advertisements
Advertisements
प्रश्न
(1 + sin A)(1 – sin A) is equal to ______.
विकल्प
cosec2A
sin2A
sec2A
cos2A
Advertisements
उत्तर
(1 + sin A)(1 – sin A) is equal to cos2A.
Explanation:
(1 + sin A)(1 – sin A) = (1)2 – (sin A)2 ......{(a + b)(a – b) = (a2 – b2)}
= 1 – sin2A
= cos2A
संबंधित प्रश्न
Prove the following identities:
`sqrt((1 - sinA)/(1 + sinA)) = cosA/(1 + sinA)`
`1/((1+tan^2 theta)) + 1/((1+ tan^2 theta))`
9 sec2 A − 9 tan2 A is equal to
Prove the following identity :
sinθcotθ + sinθcosecθ = 1 + cosθ
Prove that (sin θ + cosec θ)2 + (cos θ + sec θ)2 = 7 + tan2 θ + cot2 θ.
Prove that `tan A/(1 + tan^2 A)^2 + cot A/(1 + cot^2 A)^2 = sin A.cos A`
Without using the trigonometric table, prove that
cos 1°cos 2°cos 3° ....cos 180° = 0.
Prove that `1/("cosec" θ - cot θ) = "cosec" θ + cot θ`.
If 3 sin θ = 4 cos θ, then sec θ = ?
If cosec θ + cot θ = p, then prove that cos θ = `(p^2 - 1)/(p^2 + 1)`
