KUALA LUMPUR — Thick waves of hair cascade over a woman’s shoulder. She gives a flirtatious flick of her locks and tells viewers that they too can get such a luxurious mane — if they buy the shampoo she is holding up to the camera. That is the script for your standard shampoo commercial.

Cut to the television spot for Sunsilk’s Lively Clean & Fresh shampoo. Another young, smiling woman is the star, but there is not a strand of hair in sight. Her tresses are completely covered by a tudung, the head scarf worn by many Muslim women in Malaysia.

The pitch? Lively Clean & Fresh helps remove excess oil from the scalp and hair — a common problem among wearers of tudungs, according to Unilever, the manufacturer. The company says the product is the first shampoo to speak directly to the “lifestyle of a tudung wearer.”

For decades, many Western company failed to appreciate the unique needs of Muslim consumers, marketing experts say. Worse, some companies offended potential customers by not understanding religious sensitivities. But as the Islamic population has grown in size and affluence — there are now 1.57 billion Muslims worldwide — more multinationals are seeking to tap into the market.