Question

if sin A/cos 76 = 1 where A is acute angle the value is A is​

Answer 1

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Given: The equality sin A = cos A

To find: The value of A.

Solution:

Now we have given that sin A = cos A.

Also the angle A is acute.

               sin A = cos A

We can write it as:

               sin A = sin ( 90 - A )

Cancelling sin from both sides, we get:

               A = 90 - A              

               A + A = 90

               2A = 90

               A = 45°

Answer:

            So the value of A is 45°.

Answer 2

Answer:

Given: The equality sin A = cos A

To find: The value of A.

Solution:

Now we have given that sin A = cos A.

Also the angle A is acute.

sin A = cos A

We can write it as:

sin A = sin ( 90 - A )

Cancelling sin from both sides, we get:

A = 90 - A

A + A = 90

2A = 90

A = 45°

Answer:

So the value of A is 45°.