Trigonometry Table Class 10

Trigonometry is an important chapter in Class 10 Maths. Students must learn the standard values of trigonometric ratios for angles like 0°, 30°, 45°, 60°, and 90°.

The six trigonometric ratios are:

• Sine (sin)
• Cosine (cos)
• Tangent (tan)
• Cosecant (cosec)
• Secant (sec)
• Cotangent (cot)

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Standard Trigonometry Table

Angle	0°	30°	45°	60°	90°
sin θ	0	1/2	1/√2	√3/2	1
cos θ	1	√3/2	1/√2	1/2	0
tan θ	0	1/√3	1	√3	Not Defined
cosec θ	Not Defined	2	√2	2/√3	1
sec θ	1	2/√3	√2	2	Not Defined
cot θ	Not Defined	√3	1	1/√3	0

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Important Trigonometric Ratios

Sine Formula

$\sin \theta = \frac{\text{Perpendicular}}{\text{Hypotenuse}}$sinθ=HypotenusePerpendicular​

Cosine Formula

$\cos \theta = \frac{\text{Base}}{\text{Hypotenuse}}$cosθ=HypotenuseBase​

Tangent Formula

$\tan \theta = \frac{\text{Perpendicular}}{\text{Base}}$tanθ=BasePerpendicular​

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Shortcut Trick to Learn Trigonometry Table

For sine values:

$\sin \theta = \sqrt{\frac{0}{4}},\sqrt{\frac{1}{4}},\sqrt{\frac{2}{4}},\sqrt{\frac{3}{4}},\sqrt{\frac{4}{4}}$sinθ=40​​,41​​,42​​,43​​,44​​

For cosine values, reverse the sine values.

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Solved Examples

Example 1

Find the value of:

$\sin 30^\circ$sin30∘

Answer:

$\sin 30^\circ = \frac{1}{2}$sin30∘=21​

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Example 2

Find:

$\tan 45^\circ$tan45∘

Answer:

$\tan 45^\circ = 1$tan45∘=1

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Practice Questions

1. Find the value of
   $\cos 60^\circ$cos60∘
2. Write the value of
   $\sec 0^\circ$sec0∘
3. Evaluate
   $\cosec 90^\circ$cosec90∘
4. What is the value of
   $\cot 45^\circ$cot45∘
5. Find
   $\sin 0^\circ$sin0∘

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Answer Key

1. $\frac{1}{2}$21​
2. 1
3. 1
4. 1
5. 0