Chapter 8 · Question 3

Write the values of sin⁡30∘\sin 30^\circ, cos⁡60∘\cos 60^\circ, tan⁡45∘\tan 45^\circ, and sec⁡60∘\sec 60^\circ.

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Answer

Direct Answer

sin⁡30∘=12\sin30^\circ=\frac12, cos⁡60∘=12\cos60^\circ=\frac12, tan⁡45∘=1\tan45^\circ=1, and sec⁡60∘=2\sec60^\circ=2.

Simple Explanation

These are standard trigonometric values from the NCERT table.

Exam-Ready Structure

From standard trigonometric ratios: sin⁡30∘=12\sin30^\circ=\frac12; cos⁡60∘=12\cos60^\circ=\frac12; tan⁡45∘=1\tan45^\circ=1; and since sec⁡θ=1cos⁡θ\sec\theta=\frac1{\cos\theta}, sec⁡60∘=2\sec60^\circ=2.

Key Points

  • sin⁡30∘=12\sin30^\circ=\frac12, cos⁡60∘=12\cos60^\circ=\frac12, tan⁡45∘=1\tan45^\circ=1, and sec⁡60∘=2\sec60^\circ=2.