Magento – Disable/ Remove “Estimate Shipping and Tax” Magento 1.9

In your theme's local.xml add the following code

<?xml version="1.0" encoding="UTF-8" ?>
<layout>
    <checkout_cart_index>
        <reference name="content">
            <remove name="checkout.cart.coupon"/>
        </reference>
    </checkout_cart_index>
</layout>

In the admin Panel go to System->configuration->Sales->Tax.

For shopping cart Display Settings follow as if in the image. You will get the answer as you wished.