Why did Lord Shiva take the avatar of Sharabha?

Why did Lord Shiva take the avatar of Sharabha? When Lord Narasimha killed Hiranyakashyipu, he couldn’t control his anger and started destroying everything. The gods went to Lord Brahma for help and he said that only Shiva can pacify Nrsimha. The gods requested Shiva to calm Narsimha down and he took the form of Sharabha. Sharabha was half lion, half man and half bird. He went to fight Narsimha and they both fought for a very long time. At last, Lord Shiva managed to defeat him and was very close to killing him but begged by gods to stop. Even Vishnu’s anger calmed down and he came in his original form. Lord Shiva has subdued many such incarnations of Vishnu like he pulley the eyes of Kurma, shell of Matsya, broke the tusk of Varaha and took the skin of Narsimha. Even the Shrutis approve of it: 「 हरि॑व॒ हर॑न्त॒मनु॑यन्ति दे॒वा विश्वस्येशानं॑ वृष॒भं म॑तीनाम् । ब्रह्म सरू॑प॒मनु॑ मे॒दमागा॒दय॑नं॒ मा विबंधीर्विक्रमस्व ॥ SALUTATION TO HARA ( SHIVA ) WHO DESTROYS HARI, WHO'S ADORNED BY ALL DEVTAS, WHO'S THE LORD OF UNIVERSE. Taittriya Aranyaka, 10:49:1.