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Is Sin 90 equal to cos?

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Is Sin 90 equal to cos?

All triangles have 3 angles that add to 180 degrees. Therefore, if one angle is 90 degrees we can figure out Sin Theta = Cos (90 – Theta) and Cos Theta = Sin (90 – Theta).

Is it ever possible that sin x cos x?

From the unit circle we see that sin x and cos x can only have the same value in two places, in x = /4 and x = 5 /4 (45° and 225°). The equation sin x = cos x can also be solved by dividing through by cos x. If we put k = 0 and k = 1 we get the solutions /4 (45°) and /4 + = 5 /4 (45°+ 180°= 225°).

How do you convert sin to cos?

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Basically, you just add Pi/2 or 90° to the x in sin(x) to get cosine. Pretty straightforward. Basically, you just add Pi/2 or 90° to the x in sin(x) to get cosine.

How do you express Cos X in terms of sin x?

Explanation:

  1. cosx=±√1−sin2x.
  2. sinx+cosx=sinx±√1−sin2x.
  3. cosx=sin(π2−x)
  4. sinx+cosx=sinx+sin(π2−x)

Why does sin x cos 90 x?

In a right triangle there is only one hypotenuse. The oppose of angle x is the adjacent of angle (90-x). So sin(x) = cos(90-x).

Does cos x sin 90 x?

The cosine is the sine of the complementary angle, i.e. sin(90-x) = cos(x) and cos(90-x) = sin(x). But you can see that from the right triangle.

What is the value of sin(90+x)?

Maths keeps one mentally active. Expand the formula as sin (90+x) = sin 90*cos x +cos 90*sin x. But sin 90 = 1 and cos 90 = 0, so

What is the difference between sin and cos?

More explanation – sin and cos are complementary to each other, that’s where the name came from – sine and cosine. Complementary angles in a triangle are x and 90-x. So, sin (complementary angle) = cos (angle). sin (90-x) = cos (x).

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What is the value of $sin(90- Heta)?

If $ heta$is one acute angle, then $90- heta$is the other acute angle. So $\\sin(90- heta) = $the opposite side over the hypotenuse. But note that, in reference to $ heta$thats the same as the adjacent side over the hypotenuse.

What is the value of sin(complementary angle)?

=> sin(90 – x) = cos(x) [as cos(-x) = cos(x)] More explanation – sin and cos are complementary to each other, that’s where the name came from – sine and cosine. Complementary angles in a triangle are x and 90-x. So, sin(complementary angle) = cos(angle).