Table of Contents
- 1 What are the three trigonometric reciprocals of sine cosine and tangent?
- 2 What happens to the value of sin A as the measure of angle A increases?
- 3 Is Tan y x or x y?
- 4 What is the importance of sine cosine tan functions?
- 5 What is the cosine function of a triangle with an angle θ?
- 6 Is secant the inverse of cosine?
What are the three trigonometric reciprocals of sine cosine and tangent?
cosecant, secant and tangent are the reciprocals of sine, cosine and tangent.
What happens to the value of sin A as the measure of angle A increases?
For angles up to 90°, increasing angle A will also increase the length of the opposite side (assuming the hypotenuse stays the same, as shown here). So the sine of angle A will increase as well. So the sine starts to decrease and the cosine starts to increase.
Is Tan y x or x y?
The tangent of theta is defined to be y over x where y and x are these coordinates. So the second coordinate divided by the first coordinate, that’s the tangent of theta.
Why does the cosine decrease as the angle increases?
We will call the ratio of the opposite side of a right triangle to the hypotenuse the sine and give it the symbol sin. Decreasing the angle c increases the cosine of the angle because the hypotenuse is fixed and the adjacent increases as the angle decreases.
What are the reciprocals of sine cosine and tangent?
The reciprocals of sine, cosine, and tangent are the secant, the cosecant, and the cotangent respectively. Each of the six trigonometric functions has corresponding inverse functions (also known as inverse trigonometric functions ).
What is the importance of sine cosine tan functions?
Ans. Sine cosine tan functions are important because of the following reason. They help us to work on angles when sides of triangles are known. They help us to work on sides of when angles of triangles are known.
What is the cosine function of a triangle with an angle θ?
Considering the figure given above, the cosine function of a triangle ABC with an angle θ is expressed as: The values of trigonometric ratios like sine, cosine, and tangent for some standard angles such as 0°, 30°, 45°, 60°, and 90° can be easily determined with the help of the sine cosine tangent table given below.
Is secant the inverse of cosine?
Secant is NOT the inverse of sine. Secant is the inverse of cosine. We invert both the way we calculate and the way we name the function. Cosecant is NOT the inverse of cosine. Cosecant is the inverse of sine.