Question

) Write table of trigonometric values​

Answer 1

Answer:

Step 1:

Create a table with the top row listing the angles such as 0°, 30°, 45°, 60°, 90°, and write all trigonometric functions in the first column such as sin, cos, tan, cosec, sec, cot.

Step 2: Determine the value of sin.

To determine the values of sin, divide 0, 1, 2, 3, 4 by 4 under the root, respectively. See the example below.

To determine the value of sin 0°

04−−√=0

Angles (In Degrees) 0° 30° 45° 60° 90° 180° 270° 360°

sin 0 1/2 1/√2 √3/2 1 0 -1 0

Step 3: Determine the value of cos.

The cos-value is the opposite angle of the sin angle. To determine the value of cos divide by 4 in the opposite sequence of sin. For example, divide 4 by 4 under the root to get the value of cos 0°. See the example below.

To determine the value of cos 0°

44−−√=1

Angles (In Degrees) 0° 30° 45° 60° 90° 180° 270° 360°

cos 1 √3/2 1/√2 1/2 0 -1 0 1

Step 4: Determine the value of tan.

The tan is equal to sin divided by cos. tan = sin/cos. To determine the value of tan at 0° divide the value of sin at 0° by the value of cos at 0° See example below.

tan 0°= 0/1 = 0

Similarly, the table would be.

Angles (In Degrees) 0° 30° 45° 60° 90° 180° 270° 360°

tan 0 1/√3 1 √3 ∞ 0 ∞ 0

Step 5: Determine the value of cot.

The value of cot is equal to the reciprocal of tan. The value of cot at 0° will obtain by dividing 1 by the value of tan at 0°. So the value will be:

cot 0° = 1/0 = Infinite or Not Defined

Same way, the table for a cot is given below.

Angles (In Degrees) 0° 30° 45° 60° 90° 180° 270° 360°

cot ∞ √3 1 1/√3 0 ∞ 0 ∞

Step 6: Determine the value of cosec.

The value of cosec at 0° is the reciprocal of sin at 0°.

cosec 0°= 1/0 = Infinite or Not Defined

Same way, the table for cosec is given below.

Angles (In Degrees) 0° 30° 45° 60° 90° 180° 270° 360°

cosec ∞ 2 √2 2/√3 1 ∞ -1 ∞

Step 7: Determine the value of sec.

The value of sec can be determined by all reciprocal values of cos. The value of sec on 0∘ is the opposite of cos on 0∘. So the value will be:

sec0∘=11=1

In the same way, the table for sec is given below.

Angles (In Degrees) 0° 30° 45° 60° 90° 180° 270° 360°

sec 1 2/√3 √2 2 ∞ -1 ∞ 1

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Frequently Asked Questions

What is Trigonometry?

Trigonometry is the branch of mathematics which deals with the relationship between the sides of a triangle (Right-angled triangle) and its angles.

What are trigonometric functions and its types?

Trigonometric functions or circular functions are defined as the functions of an angle of a right-angled triangle. There are 6 basic types of trigonometric functions which are:

Sin function

Cos function

Tan function

Cot function

Cosec function

Sec function

How to find the value of trigonometric functions?

All the trigonometric functions are related to the sides of the triangle and their values can be easily found by using the following relations:

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

Cot = 1/Tan = Adjacent/Opposite

Cosec = 1/Sin = Hypotenuse/Opposite

Sec = 1/Cos = Hypotenuse/Adjacent

hope it will help you

Answer 2

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\sf Trigonometry\: Table \\ \begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\boxed{\begin{array}{ |c |c|c|c|c|c|} \bf\angle A & \bf{0}^{ \circ} & \bf{30}^{ \circ} & \bf{45}^{ \circ} & \bf{60}^{ \circ} & \bf{90}^{ \circ} \\ \\ \rm sin A & 0 & \dfrac{1}{2}& \dfrac{1}{ \sqrt{2} } & \dfrac{ \sqrt{3}}{2} &1 \\ \\ \rm cos \: A & 1 & \dfrac{ \sqrt{3} }{2}& \dfrac{1}{ \sqrt{2} } & \dfrac{1}{2} &0 \\ \\ \rm tan A & 0 & \dfrac{1}{ \sqrt{3} }&1 & \sqrt{3} & \rm \infty \\ \\ \rm cosec A & \rm \infty & 2& \sqrt{2} & \dfrac{2}{ \sqrt{3} } &1 \\ \\ \rm sec A & 1 & \dfrac{2}{ \sqrt{3} }& \sqrt{2} & 2 & \rm \infty \\ \\ \rm cot A & \rm \infty & \sqrt{3} & 1 & \dfrac{1}{ \sqrt{3} } & 0\end{array}}}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}$