Question

Sin29-cos61 use complementary angle

Answer 1

Consider the right triangle shown below:

Right Triangle

In this triangle, αα and ββ are complementary angles because:

αα+ ββ+90∘90∘ = 180∘180∘ (Sum of all the three angles of a triangle is 180∘180∘)

=> αα+ ββ = 90∘90∘

=> αα and ββ are complementary angles.

It is customary to represent complementary angles in a right triangle as follows:

represent-complementary