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Chapter 7: Q. 11 (page 485)

Find the exact value of the expression:

sin5蟺12

Short Answer

Expert verified

14(6+2)

Step by step solution

01

Step 1. Given information 

We have been given an expression sin5蟺12.

We have to find its exact value.

02

Step 2. Simplify the expression

We can also write the expression as:

sin5蟺12=sin(3蟺12)+(2蟺12)=sin(蟺4)+(蟺6)

03

Step 3.  Apply the compound angle formula

sin(蟺4)+(蟺6)has the form sin伪+尾

Therefore, apply

sin伪+尾=sin伪cos尾+cos伪sin尾

sin蟺4cos蟺6+cos蟺4sin蟺6=22鈰�32+22鈰�12=64+24=6+24=14(6+2)

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