Question

sin(90) - 2 cos(45) . sin(45)

Answer 1

Answer:

Step-by-step explanation:

sin 90° = 1

2×cos45°×sin45°  

= 2×(1/√2)×(1/√2) (since sin45 and cos45 are (1/√2)

= 2×(1/2)  

= 1.  

hence RHS=LHS

Answer 2

$\sin(90) = 1$

$\cos(45) = \frac{1}{ \sqrt{2} }$

$\sin(45) = \frac{1}{ \sqrt{2} }$

$= > \sin(90) - 2 \cos(45) . \sin(45) \\ \\ = 1 - 2 \times \frac{1}{ \sqrt{2} } \times \frac{1}{ \sqrt{2} } \\ \\ = 1 - 2 \times \frac{1}{2} \\ \\ = 1 - 1 \\ \\ = 0$

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