Quick Answer: What Are The 6 Trig Ratios?

What are the 6 trig functions?

There are six main trigonometric functions:Sine (sin)Cosine (cos)Tangent (tan)Secant (sec)Cosecant (csc)Cotangent (cot).

How do you find the 6 trigonometric ratios?

To evaluate the six trigonometric functions of 225 degrees using the unit circle, follow these steps:Draw the picture. … Fill in the lengths of the legs and the hypotenuse. … Find the sine of the angle. … Find the cosine of the angle. … Find the tangent of the angle. … Find the cosecant of the angle.More items…

What are the 3 trigonometric ratios?

There are three basic trigonometric ratios: sine , cosine , and tangent . Given a right triangle, you can find the sine (or cosine, or tangent) of either of the non- 90° angles. Example: Write expressions for the sine, cosine, and tangent of ∠A .

How do you know what trig ratio to use?

There are three steps:Choose which trig ratio to use. – Choose either sin, cos, or tan by determining which side you know and which side you are looking for.Substitute. … Solve. … Step 1: Choose which trig ratio to use. … Step 2: Substitute. … Step 3: Solve. … Step 1: Choose the trig ratio to use. … Step 2: Substitute.More items…

What is CSC of an angle?

The cosecant ( csc ⁡ ) (\csc) (csc) The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.

What is a 45 degree triangle?

A 45 – 45 – 90 degree triangle (or isosceles right triangle) is a triangle with angles of 45°, 45°, and 90° and sides in the ratio of. Note that it’s the shape of half a square, cut along the square’s diagonal, and that it’s also an isosceles triangle (both legs have the same length).

What are the six trigonometric functions of a right triangle?

For any right triangle, there are six trig ratios: Sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). Here are the formulas for these six trig ratios: Given a triangle, you should be able to identify all 6 ratios for all the angles (except the right angle).

What does SOH CAH TOA mean?

Sine equals Opposite over Hypotenusewebsite feedback. SOHCAHTOA. A way of remembering how to compute the sine, cosine, and tangent of an angle. SOH stands for Sine equals Opposite over Hypotenuse. CAH stands for Cosine equals Adjacent over Hypotenuse.

How do you do right triangle trigonometry?

Right triangle: Find the measure of angle A , when given the opposite side and hypotenuse. From angle A , the sides opposite and hypotenuse are given. Therefore, use the sine trigonometric function. (Soh from SohCahToa) Write the equation and solve using the inverse key for sine.

How do you solve an angle using trigonometry?

Find the angle of elevation of the plane from point A on the ground.Step 1 The two sides we know are Opposite (300) and Adjacent (400).Step 2 SOHCAHTOA tells us we must use Tangent.Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.Step 4 Find the angle from your calculator using tan-1