Question

If sin a -cos a=0 then the value of a is​

Answer 1

45°

Step-by-step explanation:

Given:

sin a - cos a=0

To find:

• Value of a

Step-by-step explanation:

Given equation can be rewritten as:

• sin a = cos a

For convenience ,let us consider ∅ = a.

• sin ∅ = cos∅

Dividing both sides by cos∅,

• sin∅/cos∅ = cos∅/cos∅
• sin∅/cos∅ = 1

We know that sin∅/cos∅ = tan∅

Hence above equation can be rewritten as:

• tan∅ = 1

From trigonometric table, we know when tan∅ = 1,

• ∅ = 1* tan^-1(Shifting tan to RHS)
• ∅ = 45°

Hence, the value of a(∅) stands at 45°.