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Signs of trigonometry functions - Trigonometric Functions Video Lecture
FAQs on Signs of trigonometry functions - Trigonometric Functions
| 1. What are the signs of trigonometric functions? |  |
Ans. The signs of trigonometric functions depend on the quadrant in which the angle lies. In the first quadrant (0° to 90°), all trigonometric functions are positive. In the second quadrant (90° to 180°), only sine (sin) and cosecant (csc) are positive. In the third quadrant (180° to 270°), only tangent (tan) and cotangent (cot) are positive. In the fourth quadrant (270° to 360°), only cosine (cos) and secant (sec) are positive.
| 2. How can I determine the signs of trigonometric functions using the unit circle? | |
Ans. To determine the signs of trigonometric functions using the unit circle, draw a circle with a radius of 1 unit. Place the angle in standard position on the unit circle. The x-coordinate of the point where the terminal side of the angle intersects the unit circle represents the cosine (cos) function, and the y-coordinate represents the sine (sin) function. The signs of these functions depend on the quadrant in which the angle lies.
| 3. Are there any special angles where the signs of trigonometric functions are known? | |
Ans. Yes, there are special angles where the signs of trigonometric functions have specific values. For example, in the first quadrant, all trigonometric functions are positive. In the second quadrant, sin and csc are positive. In the third quadrant, tan and cot are positive. In the fourth quadrant, cos and sec are positive. Additionally, for the angles 0°, 90°, 180°, 270°, and 360°, the signs of trigonometric functions can be determined using the unit circle.
| 4. How can I remember the signs of trigonometric functions in each quadrant? | |
Ans. One way to remember the signs of trigonometric functions in each quadrant is to use the acronym "All Students Take Calculus." Each letter corresponds to the first letter of the trigonometric function and indicates its sign in the respective quadrant. For example, in the first quadrant, all functions are positive. In the second quadrant, only sine and cosecant are positive. In the third quadrant, only tangent and cotangent are positive. In the fourth quadrant, only cosine and secant are positive.
| 5. Can the signs of trigonometric functions be negative? | |
Ans. Yes, the signs of trigonometric functions can be negative. The signs depend on the quadrant in which the angle lies. In certain quadrants, specific trigonometric functions are negative while others are positive. It is important to understand the signs of trigonometric functions in different quadrants to accurately evaluate and solve trigonometric equations and problems.
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Apr 18, 2026 Last updated
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