How do you solve tan 240 without a calculator?

tan(240∘)=tan(1802+60∘)=tan60∘=√3 .

How do you find the value of tan?

As we know, tan is the ratio of sin and cos, such as tan θ = sin θ/cos θ. Thus, we can get the values of tan ratio for the specific angles.

How do you find cot 225?

The cot of 225 degrees equals the x-coordinate(-0.7071) divided by y-coordinate(-0.7071) of the point of intersection (-0.7071, -0.7071) of unit circle and r.

How do you find the exact value of sin 240?

The value of sin 240 degrees can be calculated by constructing an angle of 240° with the x-axis, and then finding the coordinates of the corresponding point (-0.5, -0.866) on the unit circle. The value of sin 240° is equal to the y-coordinate (-0.866). ∴ sin 240° = -0.866.

What are the two steps in Surd simplification?

There are two simple steps to surd simplification. STEP – 1: Split the number within the root into its prime factors . √50 =√(5×5 ×2) 5 0 = ( 5 × 5 × 2) STEP-II: Based on the root write the prime factors, outside the root.

What is the formula for adding surds?

A few rules of working with surds are: Generally, surds cannot be added. But we can add similar surds. m√a+n√a =(m+n)√a 3√5+2√5 =5√5 m a + n a = ( m + n) a 3 5 + 2 5 = 5 5 Now try to find the solution for the following surds. 2√5+√3+√2+√5+2√3 =? 2 5 + 3 + 2 + 5 + 2 3 =?

Can a surd form have negative numbers?

A surds form does not have negative numbers. Surds can only have positive numbers, decimals, and fractions. 6. Can a surd be a fraction? A surds form can be a fraction also.

How to rationalize surds in math?

To rationalize a surd we need to multiply the surd with its conjugate surd. To rationalize √5 5 we need to multiply it with √5 5 . √5×√5 = 5 5 × 5 = 5 3. How to solve surds? To solve an expression in surds form we need to take prime factors of the number within the surd.