Question

If sin A =cos A, then find the value of 2 tan A + cos2 A.​

Answer 1

Answer:

Check your answer please

Answer 2

Answer: 2.5

Step-by-step explanation:

Given:

$sin A = cos A$

To find:

$2 tanA + cos^2A$

Solution:

If $sin A = cos A$ then,

A = 45° $sin45 = cos45 = \frac{1}{\sqrt{2} }$)

∴ $2 tanA + cos^2A$

$tanA = 1, cosA =\frac{1}{\sqrt{2} }$

= $2(1) + (\frac{1}{\sqrt{2} } )^2$

∴$2 + \frac{1}{2}$

∴ $\frac{5}{2}$

= 2.5

Answer: 2.5