234k views
5 votes
If cos= sin 60 then what are the two angels

User Reema
by
8.6k points

2 Answers

5 votes

Answer: θ = 30

Detailed Answer:

We know that, sin 60 = √3/2

So, by given, cos θ = √3/2

Now, we know that cos 30 = √3/2

Therefore, θ = 30

User TheEllis
by
8.6k points
2 votes

Answer: The two angles are 30 degrees and 90 degrees.

Explanation:

To answer the question, we can use the trigonometric identity that relates the cosine of an angle to the sine of its complementary angle. The identity is cos(x) = sin(90° - x), where x is an angle in degrees.

In this case, we are given that cos(x) = sin(60°), which means that x and (90° - x) are complementary angles. Therefore, we can write:

x = 90° - 60° = 30°

So one of the angles is 30 degrees. To find the other angle, we can use the fact that the sum of the angles in a triangle is always 180 degrees. Let's call the second angle y. Then we have:

x + y + 60° = 180°

Substituting x = 30°, we get:

30° + y + 60° = 180°

Simplifying, we get:

y = 90°

User Younggeun
by
8.7k points

No related questions found