Question

. In a right triangle ABC , right angled at B , if tanA = 1, sin cos A A =

Answer 1

Hence Proved.

Step-by-step explanation:

Maybe, The write question is,

In a right $\triangle ABC$ , right angled at B , if $tanA = 1$,Then verify $2sinA.cosA =1$

Given,

$tanA = 1$

⇒$tanA=tan45$  (∵$tan45=1$ )

⇒$A=45$

∴ $2sinA.cosA =1$

LHS:

$2sinA.cosA$

$=2\times sin45.cos45$

$=2\times \frac{1}{\sqrt{2}}\times \frac{1}{\sqrt{2}}$  (∵ $sin45=\frac{1}{\sqrt{2}}=cos45$)

$=2\times \frac{1}{2}$

$=1=$RHS

Hence Proved.

Answer 2

Answer:

sinAcosA =1/2

Hope this answer help you.