Complementary Angles – Example 1

About Course

Ratio, Trigonometric ratio for Complementary Angles

Step 1: Group the given term as pair which are adding the angles should set 90°

Step 2: Apply the formula for the complementary angle for any one of the two terms

Step 3: simply by calculating the common terms of the numerator and denominator

Step 4: Applying the trigonometric values from the table and find value for the given sum

Example: 6.9 From Book

Find: tan 7° tan 60° tan 67° tan 83°

Solution:

Find: tan 7^° tan 23^° tan 60^° tan 67^° tan 83^°

[Grouping complementary angles]

= (tan 7^° tan 83^°)* (tan 23^° tan 67^°)* tan 60^°

[Grouping complementary angles]

= [tan 7^° tan (90^° – 7^°)] * [tan 23^° tan (90^° – 23^°)]* tan 60^°

= [tan 7^° * cot 7^°] * [tan 23^° * cot 23^°]* tan 60^°

= 1 x 1 x tan 60^°

= 1 * 1* √3

= √3