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Chapter 8: Q. 27 (page 516)

Find the exact value of the expression-

cos35掳sin55掳+sin35掳cos55掳

Short Answer

Expert verified

The required value is,

cos35掳sin55掳+sin35掳cos55掳=1

Step by step solution

01

Step 1. Given information

Given expression,

cos35掳sin55掳+sin35掳cos55掳

02

Step 2. Calculation

Solving the given expression,

cos35掳sin55掳+sin35掳cos55掳=cos(90掳-55掳)sin55掳+sin(90掳-55掳)cos55掳=sin55掳sin55掳+cos55掳cos55掳----------sin90掳-胃=cos胃,cos90掳-胃=sin胃

=sin255掳+cos255掳=1 ----------------We know, sin2胃+cos2胃=1

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