Question

if sin A + cos A =1 , find sin 2A​

Answer 1

Answer :-

• sin2 A = 0

Step-by-step explanation:

To Find :-

• If sin A + cos A = 1, then find sin2 A.

Given,

• sin A + cos A = 1

⠀⠀⠀⠀⠀ ⠀⠀⠀_______________

★ Solution:

⇒ sin A + cos A = 1

By squaring both L.H.S and R.H.S, We get,

⇒ (sin A + cos A)² = (1)²

⇒ (sin A + cos A)² = 1

By using the identity [(a + b)² = a² + b² + 2ab], We get,

⇒ sin² A + cos² A + 2.sinA.cos A = 1

By using the trigonometric identity

[(sin² A + cos² A) = 1], We get,

⇒ 1 + 2.sinA.cosA = 1

By using the trigonometric identity

[2.sinA.cosA = sin2 A], We get,

⇒ 1 + sin2 A = 1

By transposing 1 to R.H.S,

⇒ sin2 A = 1 - 1

By subtracting [1 - 1],

⇒ sin2 A = 0

Hence, sin2 = 0.

Answer 2

Step-by-step explanation:

Sublimation is the transition of a substance directly from the solid to the gas state, without passing through the liquid state.