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Chapter 7: Q. 73 (page 486)

Find the exact value of each expression.

sinsin-112+cos-10

Short Answer

Expert verified

The value of the expression is32

Step by step solution

01

Step 1. Given information

The given expression issinsin-112+cos-10

02

Step 2. Solve the expression

Let 伪=sin-112and 尾=cos-10

So,
localid="1646555017893" role="math" sin伪=12,-蟺2鈮�伪鈮�蟺2and localid="1646552886340" role="math" cos尾=0,0鈮�尾鈮�蟺

localid="1646553947364" role="math" cos伪=1-sin2伪cos伪=1-122cos伪=32

localid="1646554158949" role="math" sin尾=1-cos2尾sin尾=1-(0)2sin尾=1

Now,

localid="1646554213013" role="math" sin伪+尾=sin伪路cos尾+cos伪路sin尾=12路0+32路1=32

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