Values at 0, 30, 45, 60 and 90 degrees
These are the standard trigonometric values of sine, cosine, tangent, cosecant, secant, and cotangent for key angles used in Class 10.
Practice This ConceptMain explanation
Teacher explanation
The values at 0 degrees, 30 degrees, 45 degrees, 60 degrees, and 90 degrees are memorized because they help solve many direct exam questions quickly. Students should know the pattern of zeros, ones, and root fractions, and also remember where tangent and cotangent become undefined.
Example
sin 30 degrees = 1/2, cos 60 degrees = 1/2, tan 45 degrees = 1.
Simple analogy
Thirty and sixty are mirror angles; forty-five is the equal-side angle.
Common confusion
Students sometimes interchange 30 degrees and 60 degrees values or forget that tan 90 degrees is not defined.
Exam tip
Write the table in pairs: sine rises from 0 to 1, while cosine falls from 1 to 0.
Answer writing and exam use
1-mark use
Write the exact meaning of values at 0, 30, 45, 60 and 90 degrees in one clean line.
2-mark use
Define values at 0, 30, 45, 60 and 90 degrees and add one example or condition.
3-mark use
Explain values at 0, 30, 45, 60 and 90 degrees, show the method or example, and mention the common mistake.
Practice this concept with focused MCQs
Open the concept quiz intro first, review the test details, and then start a focused MCQ set from this concept only. Instant score and answer review are live now.
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