Question

find the value of Sin (90⁰- A) cos A + Sin A cos (90⁰_A)​

Answer 1

Answer:

answer is1

Step-by-step explanation:

sin( 90-A) cosA + sinA cos(90-A)

= cosA×cosA+sinA×sinA ( sin ( 90-A)= cosA according to formula)

= COS2A+SIN2A=1

Answer 2

Formula Used

$\sin(90 - a) = \cos(a)$

$\cos(90 - a) = \sin(a)$

${ \sin(a) }^{2} \: + \: { \cos(a) }^{2} = 1$

Answer

$\sin(90 - a) \cos(a) + \: \sin(a) \cos(90 - a) \\ = \cos(a) \cos(a) + \sin(a ) \sin(a) \\ = { \sin(a) }^{2} \: + \: { \cos(a) }^{2} \\ = 1$

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