Question

If sin42° = p then find sin48° value

Answer 1

Answer is attached in file

Answer 2

Answer:

The value of sin 48° is √(1-p²).

Step-by-step explanation:

• In context to the given question, we have to find the value of sin 48°
• Given,

⇒ sin 42° = p

Solution:

we know that,

sin (90° - θ) = cosθ

similarly,

sin 48° = sin (90° - 42°) = cos 42°     [ eq. 1 ]

we also know that,

sinθ + cos²θ = 1

cos²θ = 1 - sin²θ

similarly,

cos 42° = √( 1 - sin²42 )      

cos 42° = √( 1-p²)             [ as per eq.1 sin 48° = cos 42°]

sin 48° = √(1-p²)

Therefore, the value of sin 48° is √(1-p²).