Question

Prove that: 30° cos 60° + cos 30° sin 60° = sin 90°​

Answer 1

Answer:

• sin90=1

Step-by-step explanation:

Putting in the values of Sin30=1/2

                                      Cos60=1/2

                                      Cos30=√3/2

                                      Sin60=√3/2

Sin30*Cos60 + Cos30*Sin60

= 1/2*1/2 + √3/2*√3/2

= 1/4+3/4

=4/4

=1

We also know that sin90=1

Hence Sin30*Cos60 + Cos30*Sin60 = 1 = sin90