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Chapter 7: Q. 4 (page 500)

find the exact value of the expression

sin 75掳 + sin 15掳

Short Answer

Expert verified

sin75 掳+sin15掳=1.2247448714

Step by step solution

01

Step 1. Rewriting the expression 

sin(x)+sin(y)=2sin(x+y2)cos(x-y2)
localid="1646417268045" sin75掳+sin15掳=2sin(75掳+15掳2)cos(75掳-15掳2)=2sin45掳cos30掳

02

Step 2. Calculations

Now our expression becomes2sin45掳cos30掳=21232=32=1.2247448714

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