Question

Prove that
sin(60-theta)cos(30+theta)+cos(60-theta)sin(30+theta)=1

Answer 1

Answer: (refer to attached image)

Step-by-step explanation: Use complementary ratios to get 2 squares. Then use the trigonometric identity (sin^2+cos^2=1)

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Answer 2

Answer:

Root 3upon2 *root3upon2+1upon2+1upon2

3/4+1/4= 1 proved

Sin 60= root3/2

Cos30=root3/2

Sin30=1/2

Cos60=1/2