Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

solve the equation
sin (x° - 20°) = cos 42° for x, where 0 < x <90

Sagot :

pepe11
cos(90° - x + 20°) = cos 42°
110° - x = 42° => x = 110° - 42° => x = 68°

Answer:

Value of x is 68°

Step-by-step explanation:

Given: sin ( x - 20 )° = cos 42°

To find: Value of x.

We know that cos ( 90 - x )° = sin x°

So, cos 42° = cos ( 90 - 48 )° = sin 48°

Now Consider,

sin ( x - 20 )° = cos 42°

from above

sin ( x - 20 )° = sin 48°

Since both trigonometric ratios are same. ⇒ Angle must be equal.

⇒ x - 20 = 48

x = 48 + 20

x = 68

68 ∈ ( 0 , 90 )

Therefore, Value of x is 68°

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.