Question

Is the statement sin(a+11°)=cos(79°-a), 0°

Answer 1

Answer:

We know that, sin∅=cos(90°-∅)

$LHS = \sin(a + 11°) \\ = \cos(90° - (a + 11°)) \\ = \cos(90° - a - 11°) \\ = \cos(79° - a) = RHS$

• So, the statement is true.

Answer 2

Given :  Statement

sin(a+11°)=cos(79°-a)

To Find : Is statement True  ?

Solution:

sin(a+11°)=cos(79°-a)

LHS

= sin(a+11°)

Sin(α) = cos(90° - α)

α = a+11

= cos (90° -(a + 11°))

= cos (79° - a)

= RHS

Hence LHS = RHS

So given statement is TRUE

sin(a+11°)=cos(79°-a)

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