Without Using Trigonometric Tables, Prove That: Sin35° Sin55° − Cos35° Cos55° = 0 - Mathematics

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Sum

Without using trigonometric tables, prove that:

sin35° sin55° − cos35° cos55° = 0

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Solution

LHS=sin35° sin55°cos35° cos55°

=sin35° cos(90°55°)cos35° sin(9055°)

=sin35° cos35°cos35° sin35°

=0

=RHS

Concept: Trigonometry
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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 7 Trigonometric Ratios of Complementary Angles
Exercises | Q 3.4 | Page 313

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