What is tan equal to?
What is tan equal to?
Each of these functions are derived in some way from sine and cosine. The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .
How do you solve tan 15 degrees?
Value of Tan 15
- Tan (15°) can be found if we know the value of sin 15 degrees and cos 15 degrees.
- From the above table, we have the values of tan, sin and cos ratios for 0°, 30°, 45°, 60° and 90°.
- tan (15°) = √3 – 1/ √3 + 1.
- Hence, the value of tan (15°) is √3 – 1/√3 + 1.
- ∴ Tan (15°) = (1.732 – 1)/(1.732 + 1) = 0.2679.
Is tan 15 positive or negative?
tan 15= −2√3±√12+42 . Neglect negative value for x, as tan 15 would be positive in the 1st quadrant.
What is the value of sin 40 degree?
The answer is zero. Here’s how i did: Hope it helped! How do you find sin 40 degrees without using a calculator?
What is the exact value of CSC 45 degrees?
The exact value of csc(45°) csc ( 45 ° ) is √2 .
What is the CSC of 60 degrees?
The exact value of csc(60°) csc ( 60 ° ) is 2√3 .
What is the value of tan 60 degrees?
Therefore, the exact value of Tan 60 degrees is √3.
What is the cot of 60 degrees?
The exact value of cot(60) is 1√3 .
What is the cot of 90 degrees?
Important Angle Summary
θ° | θradians | cot(θ) |
---|---|---|
30° | π/6 | √3 |
45° | π/4 | 1 |
60° | π/3 | √3/3 |
90° | π/2 | N/A |
What is the cot of 30 degrees?
The exact value of cot(30°) cot ( 30 ° ) is √3 .
What is the value of cot degrees?
Trigonometry Examples Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cotangent is negative in the fourth quadrant. The exact value of cot(60) is 1√3 .
What is the cot of 180 degrees?
Important Angle Summary
θ° | θradians | cot(θ) |
---|---|---|
150° | 5π/6 | -√3 |
180° | π | N/A |
210° | 7π/6 | √3 |
225° | 5π/4 | 1 |
Why is COT 90 defined?
But what’s tan(90°)? That’s undefined because as you approach 90° from either direction, tan approaches positive or negative infinity. cot(90°) hence approaches 1/infinity (either positive or negative) which is just 0. A good way of thinking about it is to consider graphing reciprocal functions.
What is the value of Cosec 90 degree?
Cosec (90°-θ) = Sec θ