Question 22 of 50intermediate🔧 ApplyNumerical2 marks

Find the value of:

(i)

sin 75°

Answer

sin 75° = (3\sqrt{3} + 1)/(22\sqrt{2})

(ii)

tan 15°

Answer

tan 15° = 2 - 3\sqrt{3}

Explanation

This question applies the sum and difference formulas for trigonometric functions, which are covered in Section 3.4 of the chapter. Following the method shown in Example 11 (which finds sin 15°), students express the given angles as sum or difference of standard angles (45° and 30°) whose trigonometric values are known.