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Why is sin theta sin 180 Theta?

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Why is sin theta sin 180 Theta?

Since sin(180°)=0 and cos(180°)=−1, we get sin(180°−θ)=0−(−1)sin(θ)=sin(θ).

What does sin 180 mean?

zero
The exact value of sin 180 is zero. Sine is one of the primary trigonometric functions which helps in determining the angle or sides of a right-angled triangle. It is also called trigonometric ratio.

What is the value of sin 180 degree theta?

The exact value of sin 180 is zero. Sine is known to be one of the primary trigonometric functions which help in determining the angle or sides of a right-angled triangle.

Is sin 180 theta positive?

Solution : To evaluate sin (180° – θ), we have to consider the following important points. (i) (180° – θ) will fall in the II nd quadrant. (iii) In the II nd quadrant, the sign of “sin” is positive.

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How do you calculate sin2theta?

Double Angle Identities

  1. #sin2theta=2sin theta cos theta#
  2. #cos2theta=cos^2theta-sin^2theta=2cos^2theta-1=1-2sin^2theta#
  3. #tan2theta={2tan theta}/{1-tan^2theta}#

What is the exact value of sin 180?

Bookmark added to your notes. The exact value of sin 180 is zero. Sine is known to be one of the primary trigonometric functions which help in determining the angle or sides of a right-angled triangle. It is also called trigonometric ratio.

What is the sign of cos (180° + θ)?

(iii) In the III rd quadrant, the sign of “sin” is negative. To evaluate cos (180° + θ), we have to consider the following important points. (i) (180° + θ) will fall in the III rd quadrant. (iii) In the III rd quadrant, the sign of “cos” is negative.

What is sine Theta in math?

It is also called trigonometric ratio. If theta is an angle in a right-angled triangle, then sine theta is equal to the ratio of perpendicular and hypotenuse of the right triangle. To be noted the value of sin 0 is also equal to 0.

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What are the coordinates of sin 30 and Tan 150°?

From POQ we can see that OQ = cos 30° and PQ = sin 30°, so the coordinates of P are −cos 30°, sin 30°). cos 150° = −cos 30° = − and sin 150° = sin 30° = . tan 150° = = −tan 30° = − . In general, if θ lies in the second quadrant, the acute angle 180° − θ is called the related angle for θ. We introduced this idea in the module, Further Trigonometry.