Question

Make a trigonometry table. ​

Answer 1

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

Answer 2

Answer:

Steps to Create a Trigonometry Table:

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

Step-by-step explanation:

please mark me as brainlist