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Write the Value of `Sin Theta Cos ( 90° - Theta )+ Cos Theta Sin ( 90° - Theta )`. - Mathematics

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Question

Write the value of `sin theta cos ( 90° - theta )+ cos theta sin ( 90° - theta )`. 

Solution

`sin theta  cos theta (90°  - theta ) + cos theta sin ( 90°  - theta)`

     = ` sin theta sin theta + cos theta  cos theta `

     =` sin^2 theta + cos^2 theta `

     = 1

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Chapter 8: Trigonometric Identities - Exercises 3

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RS Aggarwal Mathematics [English] Class 10
Chapter 8 Trigonometric Identities
Exercises 3 | Q 7

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