Quick Answer: Why Is Sin 90 A Cosa?

What is COS 90 theta equal to?

cos (90° + θ) = – sin θ..

What is the value of sin 360 Theta?

θsin θcos θ90°10180°0−1270°−10360°011 more row

What is the sin of 90 in radians?

Sines and cosines for special common anglesDegreesRadianssine90°π/2160°π/3√3 / 245°π/4√2 / 230°π/61/21 more row

Is sin 90 a cosine?

Both the functions have a range of -1 to 1 and have a phase difference of 90 degrees. That means the cosine graph is 90 degrees ahead of the sine graph. From this you can say, sin (90+x)=cos x.

What is the exact value of cos 90?

Cos 90° = 0 For a triangle, ABC having the sides a, b, and c opposite the angles A, B, and C respectively, the cosine law is defined.

What is the value of sin theta?

If θ be an acute angle, the values of sin θ and cos θ lies between 0 and 1 (both inclusive). sin 60° = √3/4 = √3/2; cos 90° = √(4/4) = 1. cos 90° = √(0/4) = 0.

How do you find cosine of 90 degrees?

the cosine of 30° = 0.866, the cosine of 45° = 0.707, the cosine of 60° = 0.500, the cosine of 90° = 0.0.

What is the value for sin 45?

0.7071067812The value of Sin 45 degree in decimal form is 0.7071067812. Sine is considered as one of the most important functions in trigonometry as it is used to find out the unknown values of the angles and length of the sides of a right-angle triangle.

What is sin 90 A?

sin (90°-A) = cos A. Proof: Consider a right-angled triangle ABC right-angled at B. Let ∠ACB = θ. We know that the sum of interior angles of a triangle is 180°.

How do you prove sin 90?

Sine 90 degrees valueThe opposite side – side opposite to the angle of interest.The hypotenuse side – opposite side of the right angle and it is always the longest side of a right triangle.The adjacent side – remaining side of a triangle and it forms a side of both the angle of interest and the right angle.

How do you convert COS to sin?

The Basic Two: Sine and Cosine(1) Memorize: sine = (opposite side) / hypotenuse. … (2) sin A = cos(90° − A) or cos(π/2 − A) cos A = sin(90° − A) or sin(π/2 − A)(3) Memorize: … (4) tangent = (opposite side) / (adjacent side)(5) Memorize: … (6) tan A = cot(90° − A) or cot(π/2 − A) … (7) sec A = csc(90° − A) or csc(π/2 − A)

Is the value of sin 60?

The exact value of sin(60°) sin ( 60 ° ) is √32 .

Why does sin 90 theta )= cos theta?

Triangles! … 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).

What is the minimum value of sin a 0 90?

sin θ = 0 when θ = 0 ˚ , 180˚ , 360˚ . Maximum value of sin θ is 1 when θ = 90 ˚. Minimum value of sin θ is –1 when θ = 270 ˚. So, the range of values of sin θ is –1 ≤ sin θ ≤ 1.